Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED

Abstract

We study the gauge-covariance of the massless fermion propagator in reduced Quantum Electrodynamics (QED). Starting from its value in some gauge, we evaluate an all order expression for it in another gauge by means of the Landau-Khalatnikov-Fradkin transformation. We find that the weak coupling expansions thus derived are in perfect agreement with the exact calculations. We also prove that the fermion anomalous dimension of reduced QED is gauge invariant to all orders of perturbation theory except for the first one.

(v2) 11 pages, two-column format, no figure, published in Phys. Rev. D, edits in text (some per referee's comments) and references added, no change in results. (v1) 23 pages, no figure

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Cited by in corpus (9)

• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
• Non-perturbative field theoretical aspects of graphene and related systems
• Landau-Khalatnikov-Fradkin Transformation and Even zeta Functions
• Critical properties of three-dimensional many-flavour QEDs
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• Fermionic quantum gas at finite temperature within a Lorentz violating background