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Verfasst von:Dudal, David [VerfasserIn]   i
 Felix, Caroline P. [VerfasserIn]   i
 Junqueira, Octavio [VerfasserIn]   i
 Montes, D. S. [VerfasserIn]   i
 Duarte Pereira Junior, Antônio [VerfasserIn]   i
 Sadovski, Guilherme [VerfasserIn]   i
 Sobreiro, Rodrigo F. [VerfasserIn]   i
 Tomaz, Anderson A. [VerfasserIn]   i
Titel:Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories
Verf.angabe:D. Dudal, C.P. Felix, O.C. Junqueira, D.S. Montes, A.D. Pereira, G. Sadovski, R.F. Sobreiro, A.A. Tomaz
E-Jahr:2020
Jahr:1 June 2020
Umfang:16 S.
Fussnoten:Gesehen am 22.10.2020
Titel Quelle:Enthalten in: Physics letters / B
Ort Quelle:Amsterdam : North-Holland Publ., 1967
Jahr Quelle:2020
Band/Heft Quelle:807(2020) Artikel-Nummer 135531, 16 Seiten
ISSN Quelle:1873-2445
Abstract: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.
DOI:doi:10.1016/j.physletb.2020.135531
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Volltext ; Verlag: https://doi.org/10.1016/j.physletb.2020.135531
 Volltext: http://www.sciencedirect.com/science/article/pii/S037026932030335X
 DOI: https://doi.org/10.1016/j.physletb.2020.135531
Datenträger:Online-Ressource
Sprache:eng
K10plus-PPN:1736208934
Verknüpfungen:→ Zeitschrift

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