Dependence of the static quark free energy on \(\mu_B\) and the crossover temperature of \(N_f = 2+1\) QCD

We study the dependence of the static quark free energy on the baryon chemical potential for \(N_f = 2+1\) QCD with physical quark masses, in a range of temperature spanning from 120~MeV up to 1~GeV and adopting a stout staggered discretization with two different values of the Euclidean temporal ext...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: D'Elia, Massimo, Negro, Francesco, Rucci, Andrea, Sanfilippo, Francesco
Format: Article
Language:English
Subjects:
Chemical potential
Dependence
Free energy
High temperature
Organic chemistry
Perturbation theory
Quantum chromodynamics
Quarks
Taylor series
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Summary:We study the dependence of the static quark free energy on the baryon chemical potential for \(N_f = 2+1\) QCD with physical quark masses, in a range of temperature spanning from 120~MeV up to 1~GeV and adopting a stout staggered discretization with two different values of the Euclidean temporal extension, \(N_t = 6\) and \(N_t = 8\). In order to deal with the sign problem, we exploit both Taylor expansion and analytic continuation, obtaining consistent results. We show that the dependence of the free energy on \(\mu_B\) is sensitive to the location of the chiral crossover, in particular the \(\mu_B\)-susceptibility, i.e. the linear term in \(\mu_B^2\) in the Taylor expansion of the free energy, has a peak around 150 MeV. We also discuss the behavior expected in the high temperature regime based on perturbation theory, and obtain a good quantitative agreement with numerical results.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.09461