Parity Symmetry in QED3

Abstract

Schwinger-Dyson equations are used to study spontaneous chiral and parity symmetry breaking of three dimensional quantum electrodynamics with two-component fermions. This theory admits a topological photon mass that explicitly breaks parity symmetry and generates a fermion mass. We show that the pattern of symmetry breaking maintains parity but breaks chiral symmetry. We also find that chiral symmetry is restored at a critical number of fermion flavours in our truncation scheme. The Coleman-Hill theorem is used to demonstrate that the results are reasonably accurate.

11 pages, 5 figures

References in corpus (14)

• Unconventional Integer Quantum Hall effect in graphene
• The "Coulomb phase" in frustrated systems
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Non-Compact QED_3 with N_f=1 and N_f=4
• Gauge invariance of a critical number of flavours in QED3
• Deviations from Fermi-Liquid behaviour in (2+1)-dimensional Quantum Electrodynamics and the normal phase of high-$T_c$ Superconductors
• 2+1 Dimensional QED and a Novel Phase Transition
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Neel order, quantum spin liquids and quantum criticality in two dimensions
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Chiral Symmetry breaking in Three Dimensional QED
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Chiral symmetry restoration in (2+1)-dimensional $QED$ with a Maxwell-Chern-Simons term at finite temperature

Cited by in corpus (8)

• Chiral Symmetry Breaking and Confinement Beyond Rainbow-Ladder Truncation
• Constructing Scalar-Photon Three Point Vertex in Massless Quenched Scalar QED
• QED3 at Finite Temperature and Density
• Effects of random potentials in three-dimensional quantum electrodynamics
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Renormalization of fermion velocity in finite temperature QED_{3}
• Non-Perturbative Dynamics, Pair Condensation, Confinement and Dynamical Masses in Massless QED2+1
• Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture