https://doi.org/10.1140/epjc/s10052-025-14493-3
Regular Article - Theoretical Physics
Functional renormalization group study of the quark-meson model with 
and 
vector mesons
1
Institute of Particle Physics (IOPP) and Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University, 430079, Wuhan, China
2
State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University, 510006, Guangzhou, China
3
Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science, 510006, Guangzhou, China
4
Physics Department and Center for Exploration of Energy and Matter, Indiana University, 2401 N Milo B. Sampson Lane, 47408, Bloomington, IN, USA
Received:
14
March
2025
Accepted:
2
July
2025
Published online:
25
July
2025
We employ the functional renormalization group flow equations to investigate the phase structure of the two-flavor quark-meson model in the presence of a finite isospin chemical potential, incorporating interactions with omega and rho vector mesons. For comparison, we also compute the phase diagram in the chiral limit using the mean-field approximation. Our findings demonstrate that omega and rho mesons affect the phase structure in markedly distinct ways, and the introduction of an isospin chemical potential leads to significant modifications in the phase boundaries and critical region. Increasing the isospin chemical potential lowers the tricritical points temperature, and tends to suppress the unphysical “back-bending” of the FRG phase boundary at low temperature.
© 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.
