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...
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creator | Guillaud, Mathilde Lazzarini, Serge Masson, Thierry |
description | 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. |
doi_str_mv | 10.48550/arxiv.2406.19937 |
format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.2406.19937</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - High Energy Physics - Theory ; Physics - Mathematical Physics</subject><creationdate>2024-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2406.19937$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2406.19937$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Guillaud, Mathilde</creatorcontrib><creatorcontrib>Lazzarini, Serge</creatorcontrib><creatorcontrib>Masson, Thierry</creatorcontrib><title>Gauge Fixing in QFT and the Dressing Field Method</title><description>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
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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.</abstract><doi>10.48550/arxiv.2406.19937</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics |
title | Gauge Fixing in QFT and the Dressing Field Method |
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