Dynamically massive linear covariant gauges: setup and first results

Fuente: arXiv
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Autores principales: Comitini, Giorgio, De Meerleer, Tim, Dudal, David, Sorella, Silvio Paolo
Formato: Preprint
Publicado: 2023
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author Comitini, Giorgio
De Meerleer, Tim
Dudal, David
Sorella, Silvio Paolo
author_facet Comitini, Giorgio
De Meerleer, Tim
Dudal, David
Sorella, Silvio Paolo
contents We discuss the possibility to obtain a massive Landau gauge, based on the local composite operator (LCO) effective action framework combined with the Zimmerman reduction of couplings prescription. As a way to deal with the gauge ambiguity, we check that the ghost propagator remains positive, a necessary condition for gluon field configurations beyond the Gribov region to be negligible. We pay attention to the BRST invariance of the construction, allowing for a future generalization to a class of massive linear covariant gauges. As a litmus test, we compare our predictions to the lattice data for the two-point functions in Landau gauge introducing the "Dynamically Infrared-Safe" renormalization scheme, including the renormalization group optimization of both the gap equation and the two-point functions. We also discuss the relation to and differences with the Curci-Ferrari model, the usefulness of which in providing an effective perturbative description of non-perturbative Yang-Mills theories became clear during recent years.
format Preprint
id arxiv_https___arxiv_org_abs_2312_07608
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dynamically massive linear covariant gauges: setup and first results
Comitini, Giorgio
De Meerleer, Tim
Dudal, David
Sorella, Silvio Paolo
High Energy Physics - Theory
High Energy Physics - Phenomenology
We discuss the possibility to obtain a massive Landau gauge, based on the local composite operator (LCO) effective action framework combined with the Zimmerman reduction of couplings prescription. As a way to deal with the gauge ambiguity, we check that the ghost propagator remains positive, a necessary condition for gluon field configurations beyond the Gribov region to be negligible. We pay attention to the BRST invariance of the construction, allowing for a future generalization to a class of massive linear covariant gauges. As a litmus test, we compare our predictions to the lattice data for the two-point functions in Landau gauge introducing the "Dynamically Infrared-Safe" renormalization scheme, including the renormalization group optimization of both the gap equation and the two-point functions. We also discuss the relation to and differences with the Curci-Ferrari model, the usefulness of which in providing an effective perturbative description of non-perturbative Yang-Mills theories became clear during recent years.
title Dynamically massive linear covariant gauges: setup and first results
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2312.07608