Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED

Abstract

We study the gauge-covariance of the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics in the framework of dimensional regularization in d=3-2\ep. Assuming the finiteness of the quenched perturbative expansion, that is the existence of the limit \ep \to 0, we state that, exactly in d=3, all odd perturbative coefficients, starting with the third order one, should be zero in any gauge.

arXiv comment17 pages, no figures

References in corpus (38)

• The electronic properties of graphene
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• QED3 theory of underdoped high temperature superconductors
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• Electromagnetic current correlations in reduced quantum electrodynamics
• Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultra-relativistic limit of graphene
• (2+1)-Dimensional QED with Dynamically Massive Fermions in the Vacuum Polarization
• Multi-loop techniques for massless Feynman diagram calculations
• Computation of Critical Exponent Eta at O(1/N_f^2) in Quantum Electrodynamics in Arbitrary Dimensions
• Landau-Khalatnikov-Fradkin Transformations and the Fermion Propagator in Quantum Electrodynamics
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Nonperturbative infrared dynamics of three-dimensional QED with a four-fermion interaction
• Gauge-theory approach to planar doped antiferromagnets and external magnetic fields
• Non-perturbative Fermion Propagator for the Massless Quenched QED3
• Does the weak coupling limit of the Burden-Tjiang deconstruction of the massless quenched QED3 vertex agree with perturbation theory?
• Critical behaviour of reduced QED${}_{4,3}$ and dynamical fermion gap generation in graphene
• Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
• Note on an application of the method of uniqueness to reduced quantum electrodynamics
• Critical behaviour of ($2+1$)-dimensional QED: 1/N_f-corrections in the Landau gauge
• Chiral symmetry breaking in dimensionally regularized nonperturbative quenched QED
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$
• Landau-Khalatnikov-Fradkin transformations in Reduced Quantum Electrodynamics
• Flavor and topological current correlators in parity-invariant three-dimensional QED
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators
• On the gauge parameter dependence of QED
• On the critical behavior of (2+1)-dimensional QED
• Heat kernel for higher-order differential operators and generalized exponential functions
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• Addendum to "Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge"
• The ultraviolet and infrared perturbative finiteness of massless QED${}_3$
• Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism

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