Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
High Energy Physics - Theory
2020-11-18 v1 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Abstract
We calculate the three- and four-loop corrections to the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics with four-component fermions. The three-loop correction is finite and gauge invariant but the four-loop one has singularities except in the Feynman gauge where it is also finite. Our results explicitly show that, up to four loops, gauge-dependent terms are completely determined by lower order ones in agreement with the Landau-Khalatnikov-Fradkin transformation.
Keywords
Cite
@article{arxiv.2008.09400,
title = {Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED},
author = {A. F. Pikelner and V. P. Gusynin and A. V. Kotikov and S. Teber},
journal= {arXiv preprint arXiv:2008.09400},
year = {2020}
}
Comments
11+4 pages