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.
Highlights
Recent years have seen remarkable progress in studies on the QCD phase structure from both the experimental and theoretical sides
We investigate the effects of the splitting of meson wave function renormalizations on the equation of state (EOS) and the baryon number fluctuations
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, the equation of state, the fluctuations of baryon number, etc
Summary
Recent years have seen remarkable progress in studies on the QCD phase structure from both the experimental and theoretical sides. We will study the interplay between the splitting of Zφ;k and other truncation approaches, e.g., the field-dependent Yukawa coupling hkðρÞ, which encodes higher-order quark-meson scattering processes [54], fixed point expansion for the effective potential VkðρÞ in Eq (1) versus the running point expansion, etc. Their influences on the QCD phase transition and observables, e.g., fluctuations of the baryon number, will be investigated in detail. Explicit expressions for the anomalous dimensions and the flow of the Yukawa are given in Appendix A, and some useful threshold functions are collected in Appendix B
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