English

Gauge Fixing in QFT and the Dressing Field Method

Mathematical Physics 2024-07-01 v1 High Energy Physics - Theory math.MP

Abstract

In this paper, we revisit the Dressing Field Method (DFM) in the context of Quantum (Gauge) Field Theories (QFT). In order to adapt this method to the functional path integral formalism of QFT, we depart from the usual differential geometry approach used so far to study the DFM which also allows to tackle the infinite dimension of the field spaces. Our main result is that gauge fixing is an instance of the application of the DFM. The Faddeev-Popov gauge fixing procedure and the so-called unitary gauge are revisited in light of this result.

Keywords

Cite

@article{arxiv.2406.19937,
  title  = {Gauge Fixing in QFT and the Dressing Field Method},
  author = {Mathilde Guillaud and Serge Lazzarini and Thierry Masson},
  journal= {arXiv preprint arXiv:2406.19937},
  year   = {2024}
}

Comments

19 pages

R2 v1 2026-06-28T17:22:39.958Z