# Mesonic dynamics and QCD phase transition

## TL;DR

This paper investigates how mesonic wave function splitting affects the QCD phase transition and related thermodynamic properties using a low energy effective model and the functional renormalization group approach.

## Contribution

It introduces a detailed analysis of mesonic wave function renormalizations and their impact on QCD thermodynamics within a two-flavor effective model.

## Key findings

- Splitting mesonic wave functions have mild effects on bulk thermodynamic properties.
- Comparison of fixed and running effective potential expansions reveals the role of wave function renormalizations.
- The study provides insights into mesonic dynamics near the QCD phase transition.

## Abstract

We study the nontrivial dispersion relation of mesons resulting from the splitting of the transversal and longitudinal mesonic wave function renormalizations, and its influences on the QCD phase transition, equation of state, and the fluctuations of baryon number. The calculations are performed in a two-flavor low energy effective model within the functional renormalization group approach. We find that influences of the splitting mesonic wave function renormalizations on the equilibrium thermodynamical bulk properties are mild. Furthermore, we have compare the fixed and running expansion for the effective potential in detail, through which the role of the field-dependent meson and quark wave function renormalizations could be inferred.