English

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

High Energy Physics - Theory 2020-07-22 v2

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.

Keywords

Cite

@article{arxiv.2006.09315,
  title  = {Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED},
  author = {V. P. Gusynin and A. V. Kotikov and S. Teber},
  journal= {arXiv preprint arXiv:2006.09315},
  year   = {2020}
}

Comments

17 pages, no figures