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Fluctuations and thermodynamic geometry of the chiral phase transition
- Source :
- Phys. Rev. D 102, 116022 (2020)
- Publication Year :
- 2020
-
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 $\sigma$-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 the proximity of the critical endpoint. Moreover, in agreement with previous studies we find that $R$ changes sign in the pseudocritical region, suggesting a change of the nature of interactions at the mesoscopic level from statistically repulsive to attractive. Finally, we find that in the critical region around the critical endpoint $|R|$ scales with the correlation volume, $|R| =K\;\xi^3$, with $K = O(1)$, as expected from hyperscaling; far from the critical endpoint the correspondence between $|R|$ and the correlation volume is not as good as the one we have found at large $\mu$, which is not surprising because at small $\mu$ the chiral crossover is quite smooth; nevertheless, we have found that $R$ develops a characteristic peak structure, suggesting that it is still capable to capture the pseudocritical behavior of the condensate.
- Subjects :
- High Energy Physics - Phenomenology
High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 102, 116022 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2010.03310
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.102.116022