Gauge fixing in QFT and the dressing field method

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.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2024-11-15
DOI
https://doi.org/10.1142/s021988782550029x
Citations
1
Primary Topic
Surface Roughness and Optical Measurements
Type
article
Field-Weighted Citation Impact
0.37
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article

Gauge fixing in QFT and the dressing field method

Thierry Masson, Mathilde Guillaud, Serge Lazzarini
1 citations
International Journal of Geometric Methods in Modern Physics
Surface Roughness and Optical Measurements
0.37
article

Gauge fixing in QFT and the dressing field method

Thierry Masson, Mathilde Guillaud, Serge Lazzarini
article en
1 citations

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.

International Journal of Geometric Methods in Modern PhysicsVol. 22(07)
Centre National de la Recherche Scientifique (FR), Université de Toulon (FR), Aix-Marseille Université (FR)
Openalex Percentile: Top 41%
Surface Roughness and Optical Measurements
0.37
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Gauge fixing in QFT and the dressing field method — Thierry Masson, Mathilde Guillaud, et al. · International Journal of Geometric Methods in Modern Physics (2024) | TGRS Research Map | TGRS