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.

17 pages, no figures

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Cited by in corpus (6)

• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• The quantum scale invariance in graphene-like quantum electrodynamics
• Non-perturbative field theoretical aspects of graphene and related systems
• Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
• Critical properties of three-dimensional many-flavour QEDs
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene