2006
DOI: 10.1016/j.physletb.2005.10.067
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A BRST gauge-fixing procedure for Yang–Mills theory on sphere

Abstract: A gauge-fixing procedure for the Yang-Mills theory on an n-dimensional sphere (or a hypersphere) is discussed in a systematic manner. We claim that Adler's gauge-fixing condition used in massless Euclidean QED on a hypersphere is not conventional because of the presence of an extra free index, and hence is unfavorable for the gauge-fixing procedure based on the BRST invariance principle (or simply BRST gauge-fixing procedure). Choosing a suitable gauge condition, which is proved to be equivalent to a generaliz… Show more

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Cited by 10 publications
(28 citation statements)
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“…Their (anti-)BRST transformation rules can be derived from the relations among the component fields. The BRST transformation rules obtained through this procedure are identical to those found in a previous paper [8].…”
Section: Introductionsupporting
confidence: 70%
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“…Their (anti-)BRST transformation rules can be derived from the relations among the component fields. The BRST transformation rules obtained through this procedure are identical to those found in a previous paper [8].…”
Section: Introductionsupporting
confidence: 70%
“…B 632 (2006) 579, arXiv:hep-th/0509161]. Furthermore, this formulation admits the (massive) Curci-Ferrari model defined on S n 1 , describing the gauge-fixing and mass terms on S n 1 together as a mass term on S n|2 1 .Manifestly O(n + 1) covariant formulation of gauge theories on an n-dimensional sphere, S n , has been studied in various contexts [1][2][3][4][5][6][7][8] since Adler developed the O(5) covariant formulation of QED (quantum electrodynamics) on S 4 [1]. In earlier studies of QED and the Yang-Mills theory formulated in manifestly O(n+1) covariant forms [2, 3], an unconventional gauge-fixing term was introduced into the actions in such a way that it leads to the gaugefixing condition proposed by Adler [1].…”
mentioning
confidence: 99%
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