Physics:Quantum Electroweak theory: Difference between revisions

From ScholarlyWiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>WikiHarold
Repair Quantum Collection B backlink template
Arrange page top as TOC lead image columns
Line 2: Line 2:


{{Quantum book backlink|Quantum field theory}}
{{Quantum book backlink|Quantum field theory}}
<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">
<div style="width:280px;">
__TOC__
</div>
<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
'''Electroweak theory''' is the unified quantum field theory that combines the electromagnetic and weak interactions into a single framework based on the gauge symmetry group <math>SU(2)_L \times U(1)_Y</math>.<ref name="weinberg">Weinberg, S. (1967). A model of leptons.</ref> It forms a central part of the Standard Model of particle physics.
'''Electroweak theory''' is the unified quantum field theory that combines the electromagnetic and weak interactions into a single framework based on the gauge symmetry group <math>SU(2)_L \times U(1)_Y</math>.<ref name="weinberg">Weinberg, S. (1967). A model of leptons.</ref> It forms a central part of the Standard Model of particle physics.


<div style="float:right; border:1px solid #ccc; padding:4px; background:#fff8dc; margin:0 0 1em 1em; width:420px;">
<div style="float:right; border:1px solid #ccc; padding:4px; background:#fff8dc; margin:0 0 1em 1em; width:420px;">
[[File:Electroweak_unification_diagram.jpg|400px]]
<div style="font-size:90%;">Electroweak unification: electromagnetic and weak interactions arising from a single gauge structure</div>
<div style="font-size:90%;">Electroweak unification: electromagnetic and weak interactions arising from a single gauge structure</div>
</div>
</div>
<div style="width:300px;">
[[File:Electroweak_unification_diagram.jpg|thumb|280px|Quantum Electroweak theory.]]
</div>
</div>
</div>


Revision as of 14:02, 17 May 2026


← Back to Quantum field theory

Electroweak theory is the unified quantum field theory that combines the electromagnetic and weak interactions into a single framework based on the gauge symmetry group SU(2)L×U(1)Y.[1] It forms a central part of the Standard Model of particle physics.

Electroweak unification: electromagnetic and weak interactions arising from a single gauge structure
Quantum Electroweak theory.

Unification of forces

Electroweak theory shows that the electromagnetic force and weak nuclear force are different manifestations of a single interaction at high energies.

At low energies:

  • electromagnetic interaction → long-range force
  • weak interaction → short-range force

At high energies, they merge into a unified electroweak interaction.[2]

Gauge symmetry

The theory is based on the symmetry group: SU(2)L×U(1)Y

where:

  • SU(2)L acts on left-handed fermions
  • U(1)Y corresponds to weak hypercharge

Gauge fields are introduced to preserve local symmetry, leading to four gauge bosons.[3]

Gauge bosons

The electroweak theory predicts four gauge bosons:

  • Wμ1,Wμ2,Wμ3 (from SU(2))
  • Bμ (from U(1))

These combine to form the physical particles:

  • W+ and W− (charged weak bosons)
  • Z0 (neutral weak boson)
  • γ (photon)

This mixing explains how electromagnetic and weak forces are related.[1]

Spontaneous symmetry breaking

The electroweak symmetry is not directly observed because it is spontaneously broken.

This occurs through the Higgs mechanism, introducing a scalar field whose vacuum expectation value selects a specific ground state: ⟨ϕ⟩≠0

As a result:

  • W± and Z0 acquire mass
  • the photon remains massless

This explains the short range of the weak interaction.[4]

Electroweak Lagrangian

The electroweak Lagrangian includes:

  • fermion kinetic terms
  • gauge field terms
  • Higgs field contributions
  • interaction terms

These components together describe the full dynamics of the electroweak interaction.

Weak interactions

The weak interaction involves processes such as:

  • beta decay
  • neutrino interactions
  • flavor-changing processes

These are mediated by the W± and Z0 bosons.

Experimental confirmation

Electroweak theory has been confirmed by numerous experiments, including:

  • discovery of the W and Z bosons
  • precision measurements at particle accelerators
  • observation of the Higgs boson

These results strongly support the validity of the theory.[3]

Role in the Standard Model

Electroweak theory, together with quantum chromodynamics, forms the core of the Standard Model.

It unifies two of the fundamental forces and provides a consistent framework for describing particle interactions.

Conceptual importance

Electroweak theory demonstrates how gauge symmetry and spontaneous symmetry breaking combine to produce realistic physical theories.

It is a cornerstone of modern particle physics and a key step toward deeper unification.

See also

Table of contents (198 articles)

Index

Full contents

9. Quantum optics and experiments (5) Back to index
Experimental quantum physics: qubits, dilution refrigerators, quantum communication, and laboratory systems.
Experimental quantum physics: qubits, dilution refrigerators, quantum communication, and laboratory systems.
14. Plasma and fusion physics (8) Back to index
Conceptual illustration of plasma physics in a fusion context, showing magnetically confined ionized gas in a tokamak and the collective behavior governed by electromagnetic fields and transport processes.
Conceptual illustration of plasma physics in a fusion context, showing magnetically confined ionized gas in a tokamak and the collective behavior governed by electromagnetic fields and transport processes.

References

  1. ↑ 1.0 1.1 Weinberg, S. (1967). A model of leptons.
  2. ↑ Peskin, M. E.; Schroeder, D. V. An Introduction to Quantum Field Theory (1995).
  3. ↑ 3.0 3.1 Schwartz, M. D. Quantum Field Theory and the Standard Model (2014).
  4. ↑ Higgs, P. W. (1964). Broken symmetries and the masses of gauge bosons.
Author: Harold Foppele


Source attribution: Quantum field theory (QFT) core

Retrieved from "https://scholarlywiki.org/index.php?title=Physics:Quantum_Electroweak_theory&oldid=2931"