Speaker
Description
In this work, we propose an effective action for the quark-meson model incorporating all (pseudo)scalar and (axial)vector mesons based on chiral symmetry. Within the framework of the functional renormalization group (FRG), we conduct a systematic study of the model. By deriving and solving the flow equation for the effective potential, we calculate the curvature masses of mesons at finite temperature ($T$) and chemical potential ($\mu$). The observed degeneracy between chiral partners at high $T$ and $\mu$ provides clear evidence for chiral symmetry restoration.
Using the method of analytic continuation, we compute the in-medium spectral functions of the $\rho$ meson across different phases. These results establish a foundation for future investigations of dilepton production in hot and dense QCD matter.
