2013Progress of Theoretical Physics SupplementRequires access

Chiral Symmetry Breaking in Quantum Field Theory

Thomas Appelquist

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Abstract

An analysis of the spontaneous breaking of chiral symmetry in three dimensional electrodynamics is described. It is argued that this model, when treated in a 1/N expansion, does exhibit spontaneous chiral symmetry breaking. This is established by finding analytic and numerical solutions to the Dyson-Schwinger equation and then computing the composite-operator effective potential.

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An analysis of the spontaneous breaking of chiral symmetry in three dimensional electrodynamics is described. It is argued that this model, when treated in a 1/N expansion, does exhibit spontaneous chiral symmetry breaking. This is established by finding analytic and numerical solutions to the Dyson-Schwinger equation and then computing the composite-operator effective potential.

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Available abstract

An analysis of the spontaneous breaking of chiral symmetry in three dimensional electrodynamics is described. It is argued that this model, when treated in a 1/N expansion, does exhibit spontaneous chiral symmetry breaking. This is established by finding analytic and numerical solutions to the Dyson-Schwinger equation and then computing the composite-operator effective potential.

Key concepts: Chiral symmetry breaking, Spontaneous symmetry breaking, Explicit symmetry breaking, Physics, Symmetry breaking, Nambu–Jona-Lasinio model, Symmetry (geometry), Mathematical physics

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