Physics:Quantum field theory in curved spacetime: Difference between revisions

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{{Short description|Quantum field theory on a classical curved spacetime background}}
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{{Short description|Quantum field theory on a classical curved spacetime background}}


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'''Quantum field theory in curved spacetime''' studies quantum fields on a classical curved spacetime background. It is not a full theory of quantum gravity because the geometry is not itself quantized, but it captures important effects where matter fields are quantum while gravity is treated classically. It is central to Hawking radiation, the Unruh effect, cosmological particle creation, and semiclassical gravity.<ref>{{cite web |title=Quantum field theory in curved spacetime |url=https://en.wikipedia.org/wiki/Quantum_field_theory_in_curved_spacetime |website=Wikipedia |access-date=19 May 2026}}</ref><ref>{{cite book |last=Wald |first=Robert M. |title=Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics |publisher=University of Chicago Press |year=1994 |id=ISBN 978-0-226-87027-4}}</ref>
'''field theory in curved spacetime''' is a Book II topic in the Quantum Collection. Quantum field theory in curved spacetime studies quantum fields on a classical curved spacetime background. It is not a full theory of quantum gravity because the geometry is not itself quantized, but it captures important effects where matter fields are quantum while gravity is treated classically. It is central to Hawking radiation, the Unruh effect, cosmological particle creation, and semiclassical gravity. Quantum field theory in curved spacetime studies quantum fields on a classical curved spacetime background. It is not a full theory of quantum gravity because the geometry is not itself quantized, but it captures important effects where matter fields are quantum while gravity is treated classically.
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== Intermediate theory ==
== Intermediate theory ==
QFT in curved spacetime is an intermediate step toward quantum gravity. It is expected to work when spacetime curvature is not Planckian and when the quantum fields do not strongly back-react on the geometry.<ref>{{cite book |last=Rovelli |first=Carlo |title=Quantum Gravity |publisher=Cambridge University Press |year=2004 |id=ISBN 978-0-521-83733-0}}</ref>
QFT in curved spacetime is an intermediate step toward quantum gravity. It is expected to work when spacetime curvature is not Planckian and when the quantum fields do not strongly back-react on the geometry.<ref>{{cite book |last=Rovelli |first=Carlo |title=Quantum Gravity |publisher=Cambridge University Press |year=2004 |id=ISBN 978-0-521-83733-0}}</ref>
== Description ==
'''field theory in curved spacetime''' is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.
== Quantum context ==
At this scale, the relevant behavior is controlled by quantized states, interactions, conservation laws, and the way excitations or particles are observed. The concept is normally linked to measurable properties such as energy, momentum, charge, spin, spectra, scattering rates, or collective modes.
== Role in the collection ==
This page provides a compact reference point for related pages in Book II. It should be read together with nearby matter-scale topics and the corresponding foundations in [[Physics:Quantum mechanics|quantum mechanics]].<ref name="matter-wiki">{{cite web |url=https://en.wikipedia.org/wiki/Quantum_mechanics |title=Quantum mechanics |website=Wikipedia |access-date=2026-05-20}}</ref>


=See also=
=See also=

Latest revision as of 22:06, 20 May 2026



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field theory in curved spacetime is a Book II topic in the Quantum Collection. Quantum field theory in curved spacetime studies quantum fields on a classical curved spacetime background. It is not a full theory of quantum gravity because the geometry is not itself quantized, but it captures important effects where matter fields are quantum while gravity is treated classically. It is central to Hawking radiation, the Unruh effect, cosmological particle creation, and semiclassical gravity. Quantum field theory in curved spacetime studies quantum fields on a classical curved spacetime background. It is not a full theory of quantum gravity because the geometry is not itself quantized, but it captures important effects where matter fields are quantum while gravity is treated classically.

Quantum fields in curved spacetime: field modes propagating on classical geometry.

No unique particle concept

In flat spacetime, particles can often be defined using preferred modes and a preferred vacuum. In curved spacetime this definition can become observer-dependent or background-dependent, so the vacuum and particle content may not be unique.[1]

Important predictions

The framework predicts phenomena such as particle creation in expanding universes and Hawking radiation from black holes. These effects show how quantum fields can respond to horizons, acceleration, and changing geometry.[2]

Intermediate theory

QFT in curved spacetime is an intermediate step toward quantum gravity. It is expected to work when spacetime curvature is not Planckian and when the quantum fields do not strongly back-react on the geometry.[3]

Description

field theory in curved spacetime is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.

Quantum context

At this scale, the relevant behavior is controlled by quantized states, interactions, conservation laws, and the way excitations or particles are observed. The concept is normally linked to measurable properties such as energy, momentum, charge, spin, spectra, scattering rates, or collective modes.

Role in the collection

This page provides a compact reference point for related pages in Book II. It should be read together with nearby matter-scale topics and the corresponding foundations in quantum mechanics.[4]

See also

Table of contents (84 articles)

Index

Full contents

References

  1. ↑ Birrell, N. D.; Davies, P. C. W. (1982). Quantum Fields in Curved Space. Cambridge University Press. ISBN 978-0-521-27858-4. 
  2. ↑ Wald, Robert M. (1994). Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics. University of Chicago Press. ISBN 978-0-226-87027-4. 
  3. ↑ Rovelli, Carlo (2004). Quantum Gravity. Cambridge University Press. ISBN 978-0-521-83733-0. 
  4. ↑ "Quantum mechanics". https://en.wikipedia.org/wiki/Quantum_mechanics. 


Author: Harold Foppele


Source attribution: Physics:Quantum field theory in curved spacetime

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