Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics and the 1/N approximation

Abstract

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating fermion mass terms is considered, through the solution of the corresponding Schwinger-Dyson equation for the fermion propagator at leading order of the 1/N approximation in Landau gauge. The theory undergoes a first order phase transition toward chiral symmetry restoration when the Chern-Simons coefficient $\theta$ reaches a critical value which depends upon the number of fermion families considered. Parity-violating masses, however, are generated for arbitrarily large values of the said coefficient. On the confinement scenario, complete charge screening --characteristic of the 1/N approximation-- is observed in the entire $(N,\theta )$-plane through the local and global properties of the vector part of the fermion propagator.

8 pages, 14 eps figures. Accepted in Phys. Rev. D

References in corpus (27)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Unconventional Integer Quantum Hall effect in graphene
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Hadron Properties and Dyson-Schwinger Equations
• QED3 theory of underdoped high temperature superconductors
• A New Constraint on Strongly Coupled Field Theories
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Essence of the vacuum quark condensate
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Non-Compact QED_3 with N_f=1 and N_f=4
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Gauge invariance of a critical number of flavours in QED3
• Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
• First-order Phase Transition in Three-dimensional QED with Chern--Simons Term
• Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3
• Spontaneous Chiral-Symmetry Breaking in Three-Dimensional QED with a Chern--Simons Term
• Screening in three-dimensional QED
• Massive Dirac fermions and the zero field quantum Hall effect
• Chiral Symmetry Restoration in Anisotropic QED(3)
• Fermions in odd space-time dimensions: back to basics
• Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3
• Screening in three-dimensional QED with arbitrary fermion mass
• Dynamical mass generation of a two-component fermion in Maxwell-Chern-Simons QED_3: The lowest ladder approximation
• Dynamical Mass and Parity Condensate in Varying Topological Mass

Cited by in corpus (7)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• On the Phase Structure of Many-Flavor QED${}_3$
• Chiral Symmetry Breaking and Confinement Beyond Rainbow-Ladder Truncation
• Comments on the Chern-Simons photon term in the QED description of graphene
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Dynamical Mass Generation and Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics
• Non-perturbative field theoretical aspects of graphene and related systems