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Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories
https://oist.repo.nii.ac.jp/records/1813
https://oist.repo.nii.ac.jp/records/18138b9d70a8-aac1-4d4c-9cd8-1b21799514e9
名前 / ファイル | ライセンス | アクション |
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1-s2.0-S037026932030335X-main (434.2 kB)
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Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2020-12-01 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Dudal, D.
× Dudal, D.× Felix, C.P.× Junqueira, O.C.× Montes, D.S.× Pereira, A.D.× Sadovski, G.× Sobreiro, R.F.× Tomaz, A.A. |
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書誌情報 |
en : Physics Letters B 巻 807, p. 135531, 発行日 2020-06-01 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We study the Gribov problem in four-dimensional topological Yang-Mills theories following the Baulieu-Singer approach in the (anti-)self-dual Landau gauges. This is a gauge-fixed approach that allows to recover the topological spectrum, as first constructed by Witten, by means of an equivariant (or constrained) BRST cohomology. As standard gauge-fixed Yang-Mills theories suffer from the gauge copy (Gribov) ambiguity, one might wonder if and how this has repercussions for this analysis. The resolution of the small (infinitesimal) gauge copies, in general, affects the dynamics of the underlying theory. In particular, treating the Gribov problem for the standard Landau gauge condition in non-topological Yang-Mills theories strongly affects the dynamics of the theory in the infrared. In the current paper, although the theory is investigated with the same gauge condition, the effects of the copies turn out to be completely different. In other words: in both cases, the copies are there, but the effects are very different. As suggested by the tree-level exactness of the topological model in this gauge choice, the Gribov copies are shown to be inoffensive at the quantum level. To be more precise, following Gribov, we discuss the path integral restriction to the Gribov horizon. The associated gap equation, which fixes the so-called Gribov parameter, is however shown to only possess a trivial solution, making the restriction obsolete. We relate this to the absence of radiative corrections in both gauge and ghost sectors. We give further evidence by employing the renormalization group which shows that, for this kind of topological model, the gap equation indeed forbids the introduction of a massive Gribov parameter. | |||||
出版者 | ||||||
出版者 | Elsevier B.V. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0370-2693 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.physletb.2020.135531 | |||||
権利 | ||||||
権利情報 | © 2020 The Author(s). | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.sciencedirect.com/science/article/pii/S037026932030335X | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |