2020
DOI: 10.48550/arxiv.2010.03310
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Fluctuations and thermodynamic geometry of the chiral phase transition

Paolo Castorina,
Daniele Lanteri,
Marco Ruggieri

Abstract: We study the thermodynamic curvature, R, around the chiral phase transition at finite temperature and chemical potential, within the quark-meson model augmented with meson fluctuations. We study the effect of the fluctuations, pions and σ−meson, on the top of the mean field thermodynamics and how these affect R around the crossover. We find that for small chemical potential the fluctuations enhance the magnitude of R, while they do not affect substantially the thermodynamic geometry in proximity of the critica… Show more

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Cited by 1 publication
(3 citation statements)
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“…There are several ways to continue the work presented here. A straightforward extension of the work is the inclusion of meson fluctuations on the same line of [31]. It would be interesting to include the possibility of inhomogeneous condensates [32][33][34][35][36][37][38][39][40][41].…”
Section: Discussionmentioning
confidence: 99%
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“…There are several ways to continue the work presented here. A straightforward extension of the work is the inclusion of meson fluctuations on the same line of [31]. It would be interesting to include the possibility of inhomogeneous condensates [32][33][34][35][36][37][38][39][40][41].…”
Section: Discussionmentioning
confidence: 99%
“…The inclusion of the Polyakov loop to take trace of confinementdeconfinement phase transition via a collective field would also be possible [42][43][44]. Finally, it is of a certain interest to analyze the thermodynamic geometry [31,[45][46][47][48][49][50][51][52][53][54] of the effective models of chiral symmetry breaking with finite size. We plan to report on these topics in the near future.…”
Section: Discussionmentioning
confidence: 99%
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