Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator

Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to...

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Autores principales:	P. Dall'Olio, T. De Meerleer, D. Dudal, S.P. Sorella, A. Bashir
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/6d85e3d20a324964b1b5e52922625671
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spelling	oai:doaj.org-article:6d85e3d20a324964b1b5e529226256712021-12-04T04:32:59ZLandau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator0550-321310.1016/j.nuclphysb.2021.115606https://doaj.org/article/6d85e3d20a324964b1b5e529226256712021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321003035https://doaj.org/toc/0550-3213Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to be evaluated is significantly larger than with the conventional computational scheme, the diagrams are simpler in nature, thereby leading to a considerably faster evaluation of the gauge dependent part than naively expected. Finally, we also resum the LKFT generated terms and compare our results with earlier work in the literature.P. Dall'OlioT. De MeerleerD. DudalS.P. SorellaA. BashirElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115606- (2021)
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 P. Dall'Olio T. De Meerleer D. Dudal S.P. Sorella A. Bashir Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
description	Landau-Khalatnikov-Fradkin transformations (LKFTs) yield the gauge dependence of correlation functions within the class of linear covariant gauges. We derive the LKFT for the quark propagator and explicitly evaluate it up to the two loop level in the chiral limit. Although the number of diagrams to be evaluated is significantly larger than with the conventional computational scheme, the diagrams are simpler in nature, thereby leading to a considerably faster evaluation of the gauge dependent part than naively expected. Finally, we also resum the LKFT generated terms and compare our results with earlier work in the literature.
format	article
author	P. Dall'Olio T. De Meerleer D. Dudal S.P. Sorella A. Bashir
author_facet	P. Dall'Olio T. De Meerleer D. Dudal S.P. Sorella A. Bashir
author_sort	P. Dall'Olio
title	Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
title_short	Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
title_full	Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
title_fullStr	Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
title_full_unstemmed	Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
title_sort	landau-khalatnikov-fradkin transformations for the two loop massless quark propagator
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/6d85e3d20a324964b1b5e52922625671
work_keys_str_mv	AT pdallolio landaukhalatnikovfradkintransformationsforthetwoloopmasslessquarkpropagator AT tdemeerleer landaukhalatnikovfradkintransformationsforthetwoloopmasslessquarkpropagator AT ddudal landaukhalatnikovfradkintransformationsforthetwoloopmasslessquarkpropagator AT spsorella landaukhalatnikovfradkintransformationsforthetwoloopmasslessquarkpropagator AT abashir landaukhalatnikovfradkintransformationsforthetwoloopmasslessquarkpropagator
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Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator

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