English

Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions

High Energy Physics - Lattice 2022-02-16 v1

Abstract

We show that, when investigating Wilson-fermions correlation functions on the lattice, one is bound to encounter major difficulties in defining their dispersion relation, even at tree level. The problem is indeed quite general and, although we stumbled upon it while studying Coulomb-gauge applications, it also affects gauge fixed studies in covariant gauges, including their most popular version, Landau gauge. In this paper we will discuss a solution to this problems based on a redefinition of the kinematic momentum of the fermion.

Keywords

Cite

@article{arxiv.2112.01145,
  title  = {Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions},
  author = {G. Burgio and H. Vogt},
  journal= {arXiv preprint arXiv:2112.01145},
  year   = {2022}
}

Comments

8 pages, 2 figures. Contribution to "Virtual Tribute to Quark Confinement and the Hadron Spectrum" (vConf21), Stavanger, Norway, August 2nd - 6th, 2021