Infrared behavior of dynamical fermion mass generation in QED${}_3$

Abstract

Extensive investigations show that QED${}_3$ exhibits dynamical fermion mass generation at zero temperature when the fermion flavor $N$ is sufficiently small. However, it seems difficult to extend the theoretical analysis to finite temperature. We study this problem by means of Dyson-Schwinger equation approach after considering the effect of finite temperature or disorder-induced fermion damping. Under the widely used instantaneous approximation, the dynamical mass displays an infrared divergence in both cases. We then adopt a new approximation that includes an energy-dependent gauge boson propagator and obtain results for dynamical fermion mass that do not contain infrared divergence. The validity of the new approximation is examined by comparing to the well-established results obtained at zero temperature.

arXiv comment15 pages, 6 figures, to appear on Phys. Rev. D

References in corpus (48)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Magnetic field driven metal-insulator phase transition in planar systems
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Ghost excitonic insulator transition in layered graphite
• Properties of an algebraic spin liquid on the kagome lattice
• Impurity-Induced Quasiparticle Transport and Universal Limit Wiedemann-Franz Violation in d-Wave Superconductors
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Confinement and complex singularities in QED3
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• QED3 theory of underdoped high temperature superconductors
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Theory of spin excitations in undoped and underdoped cuprates
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Gap generation and semimetal-insulator phase transition in graphene
• Non-Compact QED_3 with N_f=1 and N_f=4
• Non-compact QED_3 with N_f >=2
• On the Phase Structure of Many-Flavor QED${}_3$
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Gauge invariance of a critical number of flavours in QED3
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
• Interaction and excitonic insulating transition in graphene
• Effect of gauge boson mass on chiral symmetry breaking in QED${}_3$
• Dynamical Symmetry Breaking in QED_3 from the Wilson RG Point of View
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Absence of dynamical gap generation in suspended graphene
• Phase Structure of QED3 at Finite Temperature
• Effect of Wavefunction Renormalisation in N-Flavour Qed3 at Finite Temperature
• Massive Dirac fermions and the zero field quantum Hall effect
• Fermions in odd space-time dimensions: back to basics
• Chiral symmetry breaking and violation of the Wiedemann-Franz law in underdoped cuprates
• Dynamical chiral symmetry breaking in QED${}_3$ at finite density and impurity potential
• Continuum study of various susceptibilities within thermal QED${}_3$
• Effect of retardation on dynamical mass generation in two-dimensional QED at finite temperature
• Non-Fermi liquid behavior due to U(1) gauge field in two dimensions
• QED3 at Finite Temperature and Density
• Dynamical Mass Generation in a Finite-Temperature Abelian Gauge Theory
• Nature of chiral phase transition in QED${}_3$ at zero density
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Gap equation in finite-temperature three-dimensional QED beyond the bare-vertex approximation
• Endemic Infrared Divergences in QED3 at Finite Temperature
• Fate of non-Fermi liquid behavior in QED${}_3$ at finite chemical potential

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