Gribov horizon in Noncommutative QED

It is known that Noncommutative QED (NCQED) exhibits Gribov ambiguities in the Landau gauge. These ambiguities are related to zero modes of the Faddeev-Popov operator and arise in the ghost propagator when it has a pole. In this work, we establish a positive Faddeev-Popov operator for NCQED and the...

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Autores principales:	Ozório Holanda, Marcelo S. Guimaraes, Luigi Rosa, Patrizia Vitale
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/20fc92dd43c84a12bc41f45712140086
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spelling	oai:doaj.org-article:20fc92dd43c84a12bc41f457121400862021-12-04T04:33:04ZGribov horizon in Noncommutative QED0550-321310.1016/j.nuclphysb.2021.115624https://doaj.org/article/20fc92dd43c84a12bc41f457121400862022-01-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321003217https://doaj.org/toc/0550-3213It is known that Noncommutative QED (NCQED) exhibits Gribov ambiguities in the Landau gauge. These ambiguities are related to zero modes of the Faddeev-Popov operator and arise in the ghost propagator when it has a pole. In this work, we establish a positive Faddeev-Popov operator for NCQED and the condition for the ghost propagator not to have poles, the so-called Gribov no-pole condition. This condition is implemented in the path integral and allows for the calculation of the photon propagator in momentum space, which is dependent on the squared non-commutativity parameter. In the commutative limit, the standard QED is recovered.Ozório HolandaMarcelo S. GuimaraesLuigi RosaPatrizia VitaleElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 974, Iss , Pp 115624- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Ozório Holanda Marcelo S. Guimaraes Luigi Rosa Patrizia Vitale Gribov horizon in Noncommutative QED
description	It is known that Noncommutative QED (NCQED) exhibits Gribov ambiguities in the Landau gauge. These ambiguities are related to zero modes of the Faddeev-Popov operator and arise in the ghost propagator when it has a pole. In this work, we establish a positive Faddeev-Popov operator for NCQED and the condition for the ghost propagator not to have poles, the so-called Gribov no-pole condition. This condition is implemented in the path integral and allows for the calculation of the photon propagator in momentum space, which is dependent on the squared non-commutativity parameter. In the commutative limit, the standard QED is recovered.
format	article
author	Ozório Holanda Marcelo S. Guimaraes Luigi Rosa Patrizia Vitale
author_facet	Ozório Holanda Marcelo S. Guimaraes Luigi Rosa Patrizia Vitale
author_sort	Ozório Holanda
title	Gribov horizon in Noncommutative QED
title_short	Gribov horizon in Noncommutative QED
title_full	Gribov horizon in Noncommutative QED
title_fullStr	Gribov horizon in Noncommutative QED
title_full_unstemmed	Gribov horizon in Noncommutative QED
title_sort	gribov horizon in noncommutative qed
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/20fc92dd43c84a12bc41f45712140086
work_keys_str_mv	AT ozorioholanda gribovhorizoninnoncommutativeqed AT marcelosguimaraes gribovhorizoninnoncommutativeqed AT luigirosa gribovhorizoninnoncommutativeqed AT patriziavitale gribovhorizoninnoncommutativeqed
_version_	1718373018549354496

Gribov horizon in Noncommutative QED

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