Physics:Quantum Quark–gluon plasma
Quark–gluon plasma (QGP or quark soup[1]) is a hot, dense state of matter in which quarks and gluons are no longer confined inside hadrons. In ordinary nuclear matter, quarks are bound inside protons and neutrons by quantum chromodynamics (QCD); in quark–gluon plasma they are deconfined and move collectively in a strongly interacting medium.
Quark–gluon plasma occurs at energy densities high enough to melt the protons and neutrons that make up atomic nuclei. It is a very low-viscosity liquid composed of elementary quarks and gluons, a state of matter new to physics when it was discovered.[2][3]
Quark–gluon plasma is studied to understand the characteristics of the Universe at about 20 μs after the Big Bang. Experimental groups use ultrarelativistic beams of ions colliding with other ions or protons to create this plasma in particle accelerators.[4]


History
Theories predicting the existence of quark–gluon plasma were developed in the late 1970s and early 1980s.[6] The discovery of color confinement and asymptotic freedom in QCD led to the realization that quark matter would undergo a phase transition at high temperature or density.[7] Using an analogy with electromagnetic plasma, E. V. Shuryak used the term "hadronic plasma" in 1978 for matter much denser than atomic nuclei, in which hadrons merge and quarks act collectively.[8] In his next paper he used "quark-gluon plasma", the name that became standard.[7]Template:Rp[9]
In 2000, CERN issued a press release[10] reporting evidence for a new state of matter based on Pb-Pb heavy-ion collision studies.[11][12] The evidence was consistent with many characteristics of the theoretically predicted quark-gluon plasma.[2]
A competing team at the Relativistic Heavy Ion Collider (RHIC) characterized the CERN results as circumstantial[13] and suggested that the experiments yielded little information about the properties of the new state.[14] A series of Au-Au collision studies from RHIC published in 2005 showed that the collisions produce something more like a liquid than the weakly interacting gas expected in early theoretical models.[15]
Role in the Standard Model
QCD is one part of the modern theory of particle physics called the Standard Model. Other parts of this theory describe electroweak interactions and neutrinos. The theory of electrodynamics has been tested and found correct to a few parts in a billion. The theory of weak interactions has been tested and found correct to a few parts in a thousand. Perturbative forms of QCD have been tested to a few percent.[16] Perturbative models assume relatively small changes from the ground state, simplifying calculations at the cost of generality. In contrast, non-perturbative QCD is much harder to test directly. The study of QGP, which has both high temperature and high density, is part of the effort to understand QCD beyond perturbation theory.
The study of QGP is also a testing ground for finite-temperature field theory, a branch of theoretical physics that studies particle physics under high-temperature conditions. Such studies are important for understanding the early evolution of the Universe, especially the first hundred microseconds after the Big Bang. They are also relevant to grand unification theories, which seek to unify the fundamental forces of nature except gravity.
Occurrence
The generally accepted model of the formation of the Universe states that it happened as the result of the Big Bang. In this model, in the time interval of 10−10–10−6 s after the Big Bang, matter existed in the form of a quark–gluon plasma. It is possible to reproduce the density and temperature of matter from that early time in laboratory conditions. The main method is the collision of two heavy atomic nuclei accelerated to energies of more than a hundred GeV. A head-on collision creates a small fireball with a volume approximately equal to that of an atomic nucleus, allowing physicists to model the density and temperature of the early Universe.
Relation to electromagnetic plasma
A plasma is matter in which charges are screened by the presence of other mobile charges. For example, Coulomb's law can be modified by screening to yield a distance-dependent charge, , where the charge is reduced exponentially with distance divided by a screening length α. In QGP, the color charge of quarks and gluons is screened. QGP has analogies with an ordinary plasma, but also important differences: color charge is non-abelian, whereas electric charge is abelian. Outside a finite volume of QGP the color-electric field is not screened, so a volume of QGP must still be color-neutral and have integer electric charge.
Because of the extremely high energies involved, quark-antiquark pairs are produced by pair production. A QGP is therefore a roughly equal mixture of quarks and antiquarks of various flavors, with only a slight excess of quarks. This is not a general feature of conventional plasmas, which are often too cool for pair production.
Theory
One consequence of the non-abelian color charge is that the interaction is too strong for perturbative computations in many QGP conditions. The main theoretical tools for exploring QGP include lattice gauge theory.[17][18] The transition temperature, approximately Template:Val in older estimates, was first predicted by lattice gauge theory. Since then, lattice gauge theory has been used to predict many other properties of this kind of matter. The AdS/CFT correspondence may also provide insights into QGP, and the fluid/gravity correspondence has been used as a theoretical framework for understanding strongly coupled fluids. QGP is believed to be a phase of QCD that can become locally thermalized and therefore suitable for an effective fluid-dynamic description.
Production
Production of QGP in the laboratory is achieved by colliding heavy atomic nuclei, or heavy ions, at relativistic energy. Matter is heated well above the Hagedorn temperature TH = 150 MeV per particle, corresponding to a temperature exceeding 1.66 trillion K. Lead and gold nuclei have been used in such collisions at the CERN Super Proton Synchrotron and at the Brookhaven Relativistic Heavy Ion Collider, respectively. The nuclei are accelerated to ultrarelativistic speeds, directed toward each other, and create a hot fireball in the rare event of a collision. Hydrodynamic simulations predict that this fireball expands under its own pressure and cools while expanding. Measurements of spherical and elliptic flow test these models.
Diagnostic tools
Quark–gluon plasma is produced in relativistic heavy-ion collisions.[19][20][21][22]
Important classes of experimental observations include:
- Thermal photons and thermal dileptons
- Strangeness production
- Elliptic flow
- Jet quenching
- J/ψ melting
- Hanbury Brown and Twiss effect and Bose–Einstein correlations
- Single-particle spectra
Expected properties
Thermodynamics
The cross-over temperature from the normal hadronic phase to the QGP phase is about Template:Val.[23] The phenomena involved correspond to an energy density of a little less than Template:Val. For relativistic matter, pressure and temperature are not independent variables, so the equation of state is a relation between energy density and pressure. This has been found through lattice computations and compared with perturbation theory and string-theory-inspired models. Response functions such as the specific heat and quark-number susceptibilities are active topics of calculation.
Flow
The discovery of QGP as an almost perfect liquid was a turning point in high-energy nuclear physics. Experiments at RHIC revealed a substance with extremely low resistance to flow.[24] Nuclear matter at low temperature is known to behave like a superfluid. When heated, the nuclear fluid evaporates into a dilute gas of nucleons and, on further heating, a gas of baryons and mesons. At the critical temperature, hadrons melt and the gas turns back into a liquid. RHIC experiments showed that this liquid has less resistance to flow than any other substance observed in laboratory experiments at any scale. Detailed measurements indicate that it is a quark–gluon plasma in which quarks, antiquarks and gluons flow collectively.[25]

In short, QGP flows like a splat of liquid and, because it is not transparent to quarks, it can attenuate jets emitted in collisions. Once formed, a ball of QGP transfers heat internally by radiation. However, unlike ordinary hot objects, there is enough energy available for gluons to collide and produce an excess of strange quarks. If QGP did not exist and the collision produced only a non-equilibrium mixture, the same energy would instead create different distributions of heavier quarks such as charm or bottom quarks.[26][27]
The equation of state is an important input into flow equations. The speed of sound, meaning the speed of QGP-density oscillations, is studied in lattice computations.[28][29][30] The mean free path of quarks and gluons has been computed using perturbation theory as well as string-theory methods. Lattice computations of transport coefficients indicate that the mean free time of quarks and gluons in QGP may be comparable to the average interparticle spacing, supporting the interpretation of QGP as a liquid.[31][32] The incorporation of dissipative phenomena into hydrodynamics is another active research area.[33][34][35]
Jet quenching effect
Detailed predictions for the production of jets were made in the late 1970s for the CERN Super Proton–Antiproton Synchrotron.[36][37][38][39] The UA2 experiment observed the first evidence for jet production in hadron collisions in 1981,[40] shortly after confirmed by UA1.[41]
The subject was later revived at RHIC. One of the most striking physical effects observed at RHIC energies is jet quenching.[42][43][44] At the first stage of interaction between colliding relativistic nuclei, partons of the colliding nuclei give rise to secondary partons with large transverse momentum. Passing through hot, compressed plasma, these partons lose energy. The magnitude of energy loss depends on QGP properties such as temperature and density. Colored quarks and gluons are the elementary objects of the plasma, so parton energy loss in QGP differs from energy loss in a medium made of colorless hadrons. Under RHIC conditions, parton energy losses are estimated as Template:Tmath. This conclusion is supported by comparing high-transverse-momentum hadron yields in nucleon-nucleon and nucleus-nucleus collisions at the same energy. The reduced yield in nucleus-nucleus collisions suggests that nuclear collisions cannot be regarded as a simple superposition of nucleon-nucleon collisions. For a short time and small volume, quarks and gluons form an almost ideal liquid whose collective properties affect the motion and energy loss of partons.[45]
In November 2010, CERN announced the first direct observation of jet quenching based on heavy-ion collisions.[46][47][48][49]
Direct photons and dileptons
Thermal photons and dileptons are important electromagnetic probes of the QGP formed in relativistic heavy-ion collisions. Unlike hadrons, which predominantly reflect the final stages of the collision, electromagnetic probes are emitted throughout the space–time evolution of the fireball, from the early deconfined phase through the hadronic stage up to kinetic freeze-out, when strong interactions cease. Because photons and leptons interact only electromagnetically, their mean free path is much larger than the size of the collision volume. They can therefore escape the medium with minimal final-state interactions and provide direct information about the temperature and dynamics of the matter created in the collision. Dilepton invariant mass helps separate partonic and hadronic effects, making it useful for studying the average temperature of the plasma and its equilibration time.[50]
Glasma hypothesis
Since 2008, physicists have discussed a hypothetical precursor state of QGP called the glasma, in which dressed particles are condensed into a glassy or amorphous state below the genuine transition between the confined state and the plasma liquid.[51] This would be analogous to the formation of metallic glasses, or amorphous alloys, below the onset of the liquid metallic state.
Although the high temperatures and densities predicted to produce QGP have been realized in the laboratory, the resulting matter does not behave as a quasi-ideal state of free quarks and gluons. Instead, it behaves as an almost perfect dense fluid.[52] The possibility that QGP would not yet be free at accelerator temperatures was predicted in 1984 as a consequence of remnant effects of confinement.[53][54]
Neutron stars
It has been hypothesized that the core of some massive neutron stars may contain deconfined quark matter related to quark–gluon plasma.[55]
Onset of deconfinement
The central issue in the formation of quark–gluon plasma is the search for the onset of deconfinement. From the beginning of QGP research, the question was whether sufficient energy density could be achieved in nucleus-nucleus collisions. This depends on how much energy each nucleon loses. An influential reaction picture was the scaling solution presented by Bjorken.[56] This model applies to ultra-high-energy collisions. In experiments at CERN SPS and BNL RHIC, the situation is usually divided into three stages:[57]
- Primary parton collisions and baryon stopping at the time of complete overlap of the colliding nuclei.
- Redistribution of particle energy and creation of new particles in the QGP fireball.
- Equilibration and expansion of QGP matter before hadronization.
More experimental evidence points to the strength of QGP formation mechanisms, possibly operating even in LHC-energy proton-proton collisions.[20]
See also
Table of contents (72 articles)
Index
Full contents
- Quantum chromodynamics
- Color confinement
- Color-glass condensate
- Hadrons
- Hadronization
- Hagedorn temperature
- Neutron star
- Plasma physics
- QCD matter
- Quantum electrodynamics
- Quantum hydrodynamics
- Relativistic plasma
- Relativistic nuclear collision
- Strangeness production
- Strange matter
- List of unsolved problems in physics
Further reading
Books
- (in en) Quark-Gluon Plasma, Heavy Ion Collisions and Hadrons. World Scientific Lecture Notes in Physics. 85. Singapore: World Scientific. 2024. doi:10.1142/13570. ISBN 978-981-128234-8.
- Rafelski, Johann, ed (2016) (in en). Melting Hadrons, Boiling Quarks – From Hagedorn Temperature to Ultra-Relativistic Heavy-Ion Collisions at CERN. Cham: Springer International Publishing. doi:10.1007/978-3-319-17545-4. ISBN 978-3-319-17544-7.
- E, Fortov Vladimr (2016) (in en). [Thermodynamics) And Equations Of State For Matter: From Ideal Gas To Quark–gluon Plasma. Singapore: World Scientific. ISBN 978-981-4749-21-3. [https://books.google.com/books?id=AwvyCwAAQBAJ.
- Yagi, Kohsuke; Hatsuda, Tetsuo; Miake, Yasuo (2005). [Quark–Gluon) Plasma: From Big Bang to Little Bang. Cambridge monographs on particle physics, nuclear physics, and cosmology. Cambridge: Cambridge University Press. ISBN 978-0-521-56108-2. [https://books.google.com/books?id=C2bpxwUXJngC.
- Florkowski, Wojciech (2010). [Phenomenology) of ultra-relativistic heavy-ion collisions. Singapore: World Scientific. ISBN 978-981-4280-66-2. [https://books.google.com/books?id=GhY8DQAAQBAJ.
- Banerjee, Debasish; Nayak, Jajati K.; Venugopalan, Raju (2010). Sarkar, Sourav. ed (in en). The Physics of the Quark-Gluon Plasma. Lecture Notes in Physics. 785. Berlin; Heidelberg. pp. 105–137. doi:10.1007/978-3-642-02286-9. ISBN 978-3-642-02285-2.
- Herrera Corral, G. (2010). Stock, R.. ed. [Relativistic) Heavy Ion Physics. Landolt-Börnstein – Group I Elementary Particles, Nuclei and Atoms. 23. Berlin; Heidelberg: Springer: Berlin; Heidelberg. doi:10.1007/978-3-642-01539-7. ISBN 978-3-642-01538-0. [https://materials.springer.com/bp/docs/978-3-642-01539-7.
- Sahu, P. K.; Phatak, S. C.; Viyogi, Yogendra Pathak (2009) (in en). [Quark) Gluon Plasma and Hadron Physics. Narosa. ISBN 978-81-7319-957-8. [https://books.google.com/books?id=dk5bPgAACAAJ.
- Müller, Berndt (1985) (in en). The Physics of the Quark-Gluon Plasma. Lecture Notes in Physics. 225. Berlin; Heidelberg: Springer Berlin; Heidelberg. doi:10.1007/bfb0114317. ISBN 978-3-540-15211-8.
- Damjanovic, Sanja; Metag, Volker; Schukraft, Jürgen (2024). [[14](https://link.springer.com/book/10.1007/978-3-031-92353-1) "Research at the CERN accelerators from 1983 onwards – ultra-relativistic heavy-ion physics: searching for the quark–gluon plasma"]. in Damjanovic, Sanja; Metag, Volker; Schukraft, Jürgen. Hans Joachim Specht – Scientist and Visionary. Springer Biographies. Cham: Springer Nature. pp. 58–93. doi:10.1007/978-3-031-92353-1. ISBN 978-3-031-92352-4. [15](https://link.springer.com/book/10.1007/978-3-031-92353-1).
Review articles with a historical perspective
- Jacob, M.; Tran Thanh Van, J. (1982). "Quark matter formation and heavy ion collisions" (in en). Physics Reports 88 (5): 321–413. doi:10.1016/0370-1573(82)90083-7.
- Kapusta, J. I., ed (2003). [Quark–gluon) plasma: theoretical foundations. Amsterdam: North-Holland. ISBN 978-0-444-51110-2. [https://books.google.com/books?id=8AD3GDoVaMkC. A collection of reprints of theory articles up to 1992.
- Kajantie, K.; Miettinen, H. I. (1981). "Temperature measurement of quark-gluon plasma formed in high-energy nucleus-nucleus collisions". Zeitschrift für Physik C: Particles and Fields (Springer) 9 (4): 341–348. doi:10.1007/BF01548770.
- Specht, Hans J. (1983). "Nucleus-Nucleus Collisions: Observations and Expectations". Nuclear Physics A (Elsevier) 400: 43c–63c. doi:10.1016/0375-9474(83)90427-X.
- Gazdzicki, Marek; Gorenstein, Mark; Seyboth, Peter (2020). "Brief history of the search for critical structures in heavy-ion collisions". Acta Physica Polonica B 51 (5): 1033. doi:10.5506/APhysPolB.51.1033.
- Rafelski, Johann (2020). "Discovery of Quark–Gluon Plasma: Strangeness Diaries" (in en). The European Physical Journal Special Topics 229 (1): 1–140. doi:10.1140/epjst/e2019-900263-x. ISSN 1951-6401.
- Pasechnik, Roman; Šumbera, Michal (2017). "Phenomenological Review on Quark–Gluon Plasma: Concepts vs. Observations" (in en). Universe 3 (1): 7. doi:10.3390/universe3010007. ISSN 2218-1997.
- Satz, Helmut; Stock, Reinhard (2016). "Quark Matter: The Beginning" (in en). Nuclear Physics A 956: 898–901. doi:10.1016/j.nuclphysa.2016.06.002.
- Gazdzicki, M. (2012). ["On the history of multi-particle production in high energy collisions" (in en). Acta) Physica Polonica B 43 (4): 791. doi:10.5506/APhysPolB.43.791. ISSN 0587-4254. [https://www.actaphys.uj.edu.pl/vol43/abs/v43p0791.
- Müller, B. (2012). ["Strangeness and the quark–gluon plasma: thirty years of discovery" (in en). Acta) Physica Polonica B 43 (4): 761. doi:10.5506/APhysPolB.43.761. ISSN 0587-4254. [https://www.actaphys.uj.edu.pl/vol43/abs/v43p0761.
- Heinz, Ulrich (2008). ["From SPS to RHIC: Maurice and the CERN heavy-ion programme". Physica) Scripta 78 (2). doi:10.1088/0031-8949/78/02/028005. ISSN 0031-8949. [http://stacks.iop.org/1402-4896/78/i=2/a=028005?key=crossref.8671cc766b779ec166b546c05ebbf3dc.
- Baym, G. (2002). "RHIC: From dreams to beams in two decades" (in en). Nuclear Physics A 698 (1–4): xxiii–xxxii. doi:10.1016/S0375-9474(01)01342-2.
- Template:Cite report The so-called RHIC White papers.
External links
- Template:Commons category-inline
- [[16](http://www.bnl.gov/rhic/) The Relativistic Heavy Ion Collider] at [[17](http://www.bnl.gov/) Brookhaven National Laboratory]
- [[18](http://aliceinfo.cern.ch/) The Alice Experiment] Template:Webarchive at [[19](https://www.cern.ch/) CERN]
- [[20](http://theory.tifr.res.in/~sgupta/ilgti) The Indian Lattice Gauge Theory Initiative]
- Quark matter reviews: [[21](https://arxiv.org/abs/hep-ph/0402251) 2004 theory], [[22](https://arxiv.org/abs/nucl-ex/0405007) 2004 experiment]
- Quark–Gluon Plasma reviews: [[23](https://arxiv.org/abs/1101.3937) 2011 theory]
- Lattice reviews: [[24](https://arxiv.org/abs/hep-ph/0303042) 2003], [[25](https://arxiv.org/abs/hep-ph/0505073) 2005]
- [[26](https://news.bbc.co.uk/2/hi/science/nature/4462209.stm) BBC article mentioning Brookhaven results (2005)]
- [[27](https://web.archive.org/web/20050423224100/http://www.aip.org/pnu/2005/split/728-1.html) Physics News Update article on the quark–gluon liquid, with links to preprints]
- "Hadrons and Quark–Gluon Plasma" by Jean Letessier and Johann Rafelski, Cambridge University Press (2002) Template:ISBN, Cambridge, UK.
Template:Stellar core collapse Template:Physics-footer Template:Phase of matter Template:Authority control
References
- ↑ Heinz, Ulrich (January 20, 2015). [[1](https://www.worldscientific.com/doi/abs/10.1142/S0217751X15300112) "Quark–gluon soup — The perfectly liquid phase of QCD"]. International Journal of Modern Physics A 30 (02): 1530011. doi:10.1142/S0217751X15300112. ISSN 0217-751X. [2](https://www.worldscientific.com/doi/abs/10.1142/S0217751X15300112).
- ↑ 2.0 2.1 Rafelski, Johann (2015). "Melting hadrons, boiling quarks" (in en). The European Physical Journal A 51 (9). doi:10.1140/epja/i2015-15114-0. ISSN 1434-6001.
- ↑ Braun-Munzinger, Peter; Stachel, Johanna (July 2007). [[3](https://www.nature.com/articles/nature06080) "The quest for the quark–gluon plasma"] (in en). Nature 448 (7151): 302–309. doi:10.1038/nature06080. ISSN 0028-0836. PMID 17637661. [4](https://www.nature.com/articles/nature06080).
- ↑ Busza, Wit; Rajagopal, Krishna; Schee, Wilke van der (October 19, 2018). [[5](https://www.annualreviews.org/content/journals/10.1146/annurev-nucl-101917-020852) "Heavy Ion Collisions: The Big Picture and the Big Questions"] (in en). Annual Review of Nuclear and Particle Science 68: 339–376. doi:10.1146/annurev-nucl-101917-020852. ISSN 0163-8998. [6](https://www.annualreviews.org/content/journals/10.1146/annurev-nucl-101917-020852).
- ↑ Template:Cite encyclopedia
- ↑ Satz, H. (1981) (in en). [Statistical) Mechanics of Quarks and Hadrons: Proceedings of an International Symposium Held at the University of Bielefeld, F.R.G., August 24–31, 1980. North-Holland. ISBN 978-0-444-86227-3. [https://books.google.com/books?id=OY8uAAAAIAAJ.
- ↑ 7.0 7.1 Gross, Franz; Klempt, Eberhard; Brodsky, Stanley J.; Buras, Andrzej J.; Burkert, Volker D.; Heinrich, Gudrun; Jakobs, Karl; Meyer, Curtis A. et al. (December 12, 2023). "50 Years of quantum chromodynamics" (in en). The European Physical Journal C 83 (12): 1125. doi:10.1140/epjc/s10052-023-11949-2. ISSN 1434-6052.
- ↑ Shuryak, E V. "Theory of hadron plasma." Sov. Phys. - JETP (Engl. Transl.); (United States), vol. 47:2, Jan. 1978.
- ↑ Shuryak, E. V. (September 11, 1978). "Quark-gluon plasma and hadronic production of leptons, photons and psions". Physics Letters B 78 (1): 150–153. doi:10.1016/0370-2693(78)90370-2. ISSN 0370-2693.
- ↑ ["New) State of Matter created at CERN" (in en). 10 February 2000. [https://home.cern/news/press-release/cern/new-state-matter-created-cern.
- ↑ Template:Cite arXiv
- ↑ Template:Cite news](https://www.nytimes.com/2000/02/10/world/particle-physicists-getting-closer-to-the-bang-that-started-it-all.html%7Caccess-date=2020-05-10%7Cissn=0362-4331}})
- ↑ Template:Citation
- ↑ Stachel, Johanna (April 10, 2006). [[7](https://www.worldscientific.com/doi/abs/10.1142/S0217751X06032733) "Has the quark-gluon plasma been seen?"]. International Journal of Modern Physics A 21 (08n09): 1750–1763. doi:10.1142/S0217751X06032733. ISSN 0217-751X. [8](https://www.worldscientific.com/doi/abs/10.1142/S0217751X06032733).
- ↑ [[9](https://www.bnl.gov/newsroom/news.php?a=110303) "RHIC Scientists Serve Up 'Perfect' Liquid"] (in en). [10](https://www.bnl.gov/newsroom/news.php?a=110303).
- ↑ Tanabashi, M.; Hagiwara, K.; Hikasa, K.; Nakamura, K.; Sumino, Y.; Takahashi, F.; Tanaka, J.; Agashe, K. et al. (2018). ["Review of Particle Physics" (in en). Physical) Review D 98 (3): 1–708. doi:10.1103/PhysRevD.98.030001. ISSN 2470-0010. PMID 10020536. [https://pdg.lbl.gov/2019/reviews/rpp2019-rev-qcd.pdf.
- ↑ Karsch, F. (1995). "The phase transition to the quark gluon plasma: Recent results from lattice calculations" (in en). Nuclear Physics A 590 (1–2): 367–381. doi:10.1016/0375-9474(95)00248-Y.
- ↑ Satz, Helmut (2011). "The Quark–Gluon Plasma". Nuclear Physics A 862–863 (12): 4–12. doi:10.1016/j.nuclphysa.2011.05.014. Bibcode: 2011NuPhA.862....4S.
- ↑ Busza, Wit; Rajagopal, Krishna; van der Schee, Wilke (2018). "Heavy ion collisions: The big picture and the big questions" (in en). Annual Review of Nuclear and Particle Science 68 (1): 339–376. doi:10.1146/annurev-nucl-101917-020852. ISSN 0163-8998.
- ↑ 20.0 20.1 ALICE Collaboration (2017). ["Enhanced production of multi-strange hadrons in high-multiplicity proton–proton collisions" (in en). Nature) Physics 13 (6): 535–539. doi:10.1038/nphys4111. ISSN 1745-2473. [http://www.nature.com/articles/nphys4111.
- ↑ Koch, Peter; Müller, Berndt; Rafelski, Johann (2017). "From strangeness enhancement to quark–gluon plasma discovery" (in en). International Journal of Modern Physics A 32 (31): 1730024–272. doi:10.1142/S0217751X17300241. ISSN 0217-751X.
- ↑ The WA97 Collaboration (2000). ["Transverse mass spectra of strange and multi–strange particles in Pb–Pb collisions at 158 A GeV/c" (in en). The European Physical Journal C 14 (4): 633–641. doi:10.1007/s100520000386. ISSN 1434-6044. .(https://cds.cern.ch/record/429846}})
- ↑ A. Bazavov, H.-T. Ding, P. Hegde, O. Kaczmarek, F. Karsch, N. Karthik, E. Laermann, Anirban Lahiri, R. Larsen, S.-T. Li, Swagato Mukherjee, H. Ohno, P. Petreczky, H. Sandmeyer, C. Schmidt, S. Sharma, P. Steinbrecher, Chiral crossover in QCD at zero and non-zero chemical potentials, Physics Letters B, Volume 795, 2019, Pages 15–21, ISSN 0370-2693, [11](https://doi.org/10.1016/j.physletb.2019.05.013).
- ↑ ["Celebrating) a Decade of Brewing Perfection". 26 June 2015. [https://www.bnl.gov/newsroom/news.php?a=25756. "Berndt Müller, Brookhaven Lab's Associate Laboratory Director for Nuclear and Particle Physics."
- ↑ Letter from Berndt Müller to Johann Rafelski, reproduced in "Discovery of Quark–Gluon Plasma: Strangeness Diaries". The European Physical Journal Special Topics. 229 (1): pp.40–41 doi:10.1140/epjst/e2019-900263-x. ISSN 1951-6401.
- ↑ 26.0 26.1 Ollitrault, Jean-Yves (1992). "Anisotropy as a signature of transverse collective flow" (in en). Physical Review D 46 (1): 229–245. doi:10.1103/PhysRevD.46.229. ISSN 0556-2821. PMID 10014754.
- ↑ Borghini, Nicolas; Dinh, Phuong Mai; Ollitrault, Jean-Yves (2001). "Flow analysis from multiparticle azimuthal correlations" (in en). Physical Review C 64 (5). doi:10.1103/PhysRevC.64.054901. ISSN 0556-2813.
- ↑ Borsányi, Szabolcs; Endrődi, Gergely; Fodor, Zoltán; Jakovác, Antal; Katz, Sándor D.; Krieg, Stefan; Ratti, Claudia; Szabó, Kálmán K. (2010). "The QCD equation of state with dynamical quarks" (in en). Journal of High Energy Physics 2010 (11): 77. doi:10.1007/JHEP11(2010)077. ISSN 1029-8479.
- ↑ Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.; Ding, H.-T.; Gottlieb, Steven; Gupta, Rajan; Hegde, P.; Heller, U. M. et al. (2014). "Equation of state in ( 2 + 1 )-flavor QCD" (in en). Physical Review D 90 (9). doi:10.1103/PhysRevD.90.094503. ISSN 1550-7998.
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- ↑ Hirano, Tetsufumi; Gyulassy, Miklos (2006). "Perfect fluidity of the quark–gluon plasma core as seen through its dissipative hadronic corona" (in en). Nuclear Physics A 769: 71–94. doi:10.1016/j.nuclphysa.2006.02.005.
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- ↑ Adcox, K.; Adler, S.S.; Afanasiev, S.; Aidala, C.; Ajitanand, N.N.; Akiba, Y.; Al-Jamel, A.; Alexander, J. et al. (2005). "Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration" (in en). Nuclear Physics A 757 (1–2): 184–283. doi:10.1016/j.nuclphysa.2005.03.086.
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- ↑ Back, B.B.; Baker, M.D.; Ballintijn, M.; Barton, D.S.; Becker, B.; Betts, R.R.; Bickley, A.A.; Bindel, R. et al. (2005). "The PHOBOS perspective on discoveries at RHIC" (in en). Nuclear Physics A 757 (1–2): 28–101. doi:10.1016/j.nuclphysa.2005.03.084.
- ↑ Schukraft, Jürgen (2010). [ALICE—'Little) Bang': The first 3 weeks .... [https://indico.cern.ch/event/114939/contributions/62599/attachments/48842/70225/CERN_HI_Dec_2010.pdf.
- ↑ {{cite press release |title=LHC experiments bring new insight into primordial universe |url=[[CERN(https://press.web.cern.ch/press-releases/2010/11/lhc-experiments-bring-new-insight-primordial-universe%7Cpublisher=CERN) |date=November 26, 2010 |access-date=December 2, 2010}}
- ↑ Aad, G. (13 December 2010). "Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at Template:Sqrt = 2.76 TeV with the ATLAS Detector at the LHC". Physical Review Letters 105 (25). doi:10.1103/physrevlett.105.252303. PMID 21231581. Bibcode: 2010PhRvL.105y2303A.
- ↑ Chatrchyan, S. (12 August 2011). "Observation and studies of jet quenching in Pb-Pb collisions at Template:Sqrt = 2.76 TeV". Physical Review C 84 (2). doi:10.1103/physrevc.84.024906. Bibcode: 2011PhRvC..84b4906C.
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- ↑ Bailhache, R.; Appelshäuser, H. (September 22, 2025). [[12](https://www.annualreviews.org/content/journals/10.1146/annurev-nucl-121423-100858) "Dileptons at Colliders as Probes of the Quark–Gluon Plasma"] (in en). Annual Review of Nuclear and Particle Science 75: 463–486. doi:10.1146/annurev-nucl-121423-100858. ISSN 0163-8998. [13](https://www.annualreviews.org/content/journals/10.1146/annurev-nucl-121423-100858).
- ↑ Venugopalan, Raju (2008). "From Glasma to Quark Gluon Plasma in heavy ion collisions". Journal of Physics G: Nuclear and Particle Physics 35 (10). doi:10.1088/0954-3899/35/10/104003. Bibcode: 2008JPhG...35j4003V.
- ↑ Zajc, WA (2008). "The fluid nature of quark–gluon plasma". Nuclear Physics A 805 (1–4): 283c–294c. doi:10.1016/j.nuclphysa.2008.02.285.
- ↑ Plümer, M.; Raha, S.; Weiner, R. M. (1984). "How free is the quark–gluon plasma". Nucl. Phys. A 418: 549–557. doi:10.1016/0375-9474(84)90575-X.
- ↑ Plümer, M.; Raha, S.; Weiner, R. M. (1984). "Effect of confinement on the sound velocity in a quark–gluon plasma". Phys. Lett. B 139 (3): 198–202. doi:10.1016/0370-2693(84)91244-9.
- ↑ Annala, Eemeli; Gorda, Tyler; Hirvonen, Joonas; Komoltsev, Oleg; Kurkela, Aleksi; Nättilä, Joonas; Vuorinen, Aleksi (2023-12-19). "Strongly interacting matter exhibits deconfined behavior in massive neutron stars" (in en). Nature Communications 14 (1): 8451. doi:10.1038/s41467-023-44051-y. ISSN 2041-1723. PMID 38114461.
- ↑ Bjorken, J. D. (1983). "Highly relativistic nucleus-nucleus collisions: The central rapidity region" (in en). Physical Review D 27 (1): 140–151. doi:10.1103/PhysRevD.27.140. ISSN 0556-2821.
- ↑ Letessier, Jean; Rafelski, Johann (2002-05-30) (in en). [Hadrons) and Quark–Gluon Plasma. Cambridge University Press. ISBN 978-1-139-43303-7. [https://books.google.com/books?id=SAlbKkdor1gC.
Source attribution: Quark–gluon plasma









