Functional renormalization group study of thermodynamic geometry around the phase transition of quantum chromodynamics
- We investigate the thermodynamic geometry of the quark-meson model at finite temperature, T, and quark number chemical potential, μ. We extend previous works by the inclusion of fluctuations exploiting the functional renormalization group approach. We use recent developments to recast the flow equation into the form of an advection-diffusion equation. We adopt the local potential approximation for the effective average action. We focus on the thermodynamic curvature, R, in the (μ,T) plane, in proximity of the chiral crossover, up to the critical point of the phase diagram. We find that the inclusion of fluctuations results in a smoother behavior of R near the chiral crossover. Moreover, for small μ, R remains negative, signaling the fact that bosonic fluctuations reduce the capability of the system to completely overcome the fermionic statistical repulsion of the quarks. We investigate in more detail the small μ region by analyzing a system in which we artificially lower the pion mass, thus approaching the chiral limit in which the crossover is actually a second order phase transition. On the other hand, as μ is increased and the critical point is approached, we find that R is enhanced and a sign change occurs, in agreement with mean field studies. Hence, we completely support the picture that R is sensitive to a crossover and a phase transition, and provides information about the effective behavior of the system at the phase transition.
Author: | Fabrizio MurganaORCiDGND, Vincenzo GrecoORCiD, Marco RuggieriORCiD, Dario ZappalàORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-864304 |
URL: | https://arxiv.org/abs/2312.00665v1 |
DOI: | https://doi.org/10.48550/ARXIV.2312.00665 |
ArXiv Id: | http://arxiv.org/abs/2312.00665v1 |
Parent Title (English): | arXiv |
Publisher: | arXiv |
Document Type: | Preprint |
Language: | English |
Date of Publication (online): | 2023/12/01 |
Date of first Publication: | 2023/12/01 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2024/08/08 |
Issue: | 2312.00665v1 |
Edition: | Version 1 |
Page Number: | 12 |
Institutes: | Physik / Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |