Heavy-quark corner of the Columbia plot from the center-symmetric Curci-Ferrari model

Fuente: arXiv
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Main Authors: Surkau, V. Tomas Mari, Reinosa, Urko
Format: Preprint
Published: 2025
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author Surkau, V. Tomas Mari
Reinosa, Urko
author_facet Surkau, V. Tomas Mari
Reinosa, Urko
contents We investigate the heavy-quark corner of the Columbia plot using the gluon potential derived from the Curci-Ferrari extension of the Faddeev-Popov gauge fixing in the center-symmetric Landau gauge, as a proxy for the Polyakov loop potential. In line with the observation that Landau gauge couplings are not that large in the case of heavy-quark QCD, we consider a one-loop approximation and test its consistency by using various renormalization schemes while investigating the dependence of our results on the renormalization scale. We find that the main qualitative features of the phase structure in the heavy-quark regime are reproduced. Our results agree quantitatively with those of simulations to $10\%$ accuracy, which is the expected precision of the one-loop calculations in applications of the Curci-Ferrari model to Yang-Mills or heavy-quark QCD theories.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22373
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Heavy-quark corner of the Columbia plot from the center-symmetric Curci-Ferrari model
Surkau, V. Tomas Mari
Reinosa, Urko
High Energy Physics - Phenomenology
High Energy Physics - Theory
We investigate the heavy-quark corner of the Columbia plot using the gluon potential derived from the Curci-Ferrari extension of the Faddeev-Popov gauge fixing in the center-symmetric Landau gauge, as a proxy for the Polyakov loop potential. In line with the observation that Landau gauge couplings are not that large in the case of heavy-quark QCD, we consider a one-loop approximation and test its consistency by using various renormalization schemes while investigating the dependence of our results on the renormalization scale. We find that the main qualitative features of the phase structure in the heavy-quark regime are reproduced. Our results agree quantitatively with those of simulations to $10\%$ accuracy, which is the expected precision of the one-loop calculations in applications of the Curci-Ferrari model to Yang-Mills or heavy-quark QCD theories.
title Heavy-quark corner of the Columbia plot from the center-symmetric Curci-Ferrari model
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2503.22373