https://doi.org/10.1140/epjc/s10052-025-15102-z
Regular Article - Theoretical Physics
QCD chiral phase diagram from weak functional renormalization group
1
Center for Theoretical Physics and College of Physics, Jilin University, 130012, Changchun, China
2
Department of Physics and Astronomy, Kwansei Gakuin University, 669-1330, Sanda, Hyogo, Japan
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
5
November
2025
Accepted:
20
November
2025
Published online:
16
December
2025
Abstract
We investigate the QCD chiral phase transition at finite temperature and finite baryon density using the functional Renormalization Group (fRG). While conventional fRG studies often employ techniques such as dynamical bosonization to regularize divergences, we instead pursue the weak solution of the fRG equations which allows for non-analytic behavior in the flow to compute the pure fermionic potential 
within the local potential approximation. This approach enables us to explore the effects of purely quark-level fluctuations on dynamical chiral symmetry breaking without introducing any auxiliary bosonic fields. Based on this framework, we present the resulting chiral phase diagram as a function of temperature and baryon chemical potential.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
