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 (6)

• Unconventional Integer Quantum Hall effect in graphene
• Gauge invariance of a critical number of flavours in QED3
• 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