Functional renormalization group study of rho condensate at a finite isospin chemical potential in the quark meson model

2025/08/02 by Osman, Mohammed, Hou, Defu, Wang, Wentao +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2508.02745

Abstract

We investigate the effect of an isospin chemical potential (μ_I) within the quark-meson model, which approximates quantum chromodynamics (QCD) by modeling low energy phenomena such as chiral symmetry breaking and phase structure under varying conditions of temperature and chemical potential. Using the functional renormalization group (FRG) flow equations, we calculate the phase diagram in the chiral limit within the two-flavor quark-meson model in a finite μ_I with ρ vector meson interactions. Fluctuation effects significantly decrease the critical chemical potential from the mean-field (MF) value μ_{I, MF} > m_ρ to lower value, at which point the ρ vector meson condensates alongside the chiral condensate once the isospin chemical potential exceeds the critical value μ_I^crit. This ρ condensation is investigated numerically for different meson coupling strengths. The ρ meson dominated region is delineated from other phases by a second-order phase transition at lower μ_I and a first-order transition at slightly higher μ_I.

Citations

• QCD In Extreme Conditions

Related

• Functional renormalization group study of the quark-meson model with omega and rho vector mesons
• Renormalization group invariant mean-field model for QCD at finite isospin density
• Functional Renormalization Group Study of Thermodynamic Geometry Around the Phase Transition of Quantum Chromodynamic
• Finite Size Effects on the Chiral Phase Transition of Quantum Chromodynamics
• A study of meson condensation and of the QCD critical line