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arXiv · 2006.09315

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

V. P. Gusynin·A. V. Kotikov·S. Teber
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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.

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V. P. Gusynin, A. V. Kotikov, S. Teber. 2020-06-16. Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED. https://doi.org/10.1103/physrevd.102.025013

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