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Autori principali: Ghiglieri, Jacopo, Schicho, Philipp, Schlusser, Niels, Weitz, Eamonn
Natura: Preprint
Pubblicazione: 2023
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Accesso online:https://arxiv.org/abs/2312.11731
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author Ghiglieri, Jacopo
Schicho, Philipp
Schlusser, Niels
Weitz, Eamonn
author_facet Ghiglieri, Jacopo
Schicho, Philipp
Schlusser, Niels
Weitz, Eamonn
contents High-energy particles traversing the Quark-Gluon plasma experience modified (massive) dispersion, although their vacuum mass is negligible compared to the kinetic energy. Due to poor convergence of the perturbative series in the regime of soft loop momenta, a more precise determination of this effective mass is needed. This paper continues our investigation on the factorisation between strongly-coupled infrared classical and perturbative ultraviolet behavior. The former has been studied non-perturbatively within EQCD by determining a non-local operator on the lattice. By computing the temperature-scale contribution to the same operator in 4D QCD at next-to-leading order (NLO), we remove the ultraviolet divergence of the EQCD calculation with an opposite infrared divergence from the hard thermal scale. The result is a consistent, regulator-independent determination of the classical contribution where the emergence of new divergences signals sensitivities to new regions of phase space. We address the numerical impact of the classical and NLO thermal corrections on the convergence of the factorised approach and on the partial applicability of our results to calculations of transport coefficients.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11731
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The force-force correlator at the hard thermal scale of hot QCD
Ghiglieri, Jacopo
Schicho, Philipp
Schlusser, Niels
Weitz, Eamonn
High Energy Physics - Phenomenology
High-energy particles traversing the Quark-Gluon plasma experience modified (massive) dispersion, although their vacuum mass is negligible compared to the kinetic energy. Due to poor convergence of the perturbative series in the regime of soft loop momenta, a more precise determination of this effective mass is needed. This paper continues our investigation on the factorisation between strongly-coupled infrared classical and perturbative ultraviolet behavior. The former has been studied non-perturbatively within EQCD by determining a non-local operator on the lattice. By computing the temperature-scale contribution to the same operator in 4D QCD at next-to-leading order (NLO), we remove the ultraviolet divergence of the EQCD calculation with an opposite infrared divergence from the hard thermal scale. The result is a consistent, regulator-independent determination of the classical contribution where the emergence of new divergences signals sensitivities to new regions of phase space. We address the numerical impact of the classical and NLO thermal corrections on the convergence of the factorised approach and on the partial applicability of our results to calculations of transport coefficients.
title The force-force correlator at the hard thermal scale of hot QCD
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2312.11731