第十八届全国中高能核物理大会 Fluctuations and correlations of conserved charges in the 2 + 1 flavor low energy effective model Rui Wen wwrr09@mail.dlut.edu.cn 2019.6.24.

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第十八届全国中高能核物理大会 Fluctuations and correlations of conserved charges in the 2 + 1 flavor low energy effective model Rui Wen wwrr09@mail.dlut.edu.cn 2019.6.24 Based on: R.W. , Hunag Chuang, Wei-jie Fu, Phys. Rev. D 99, 094019 R.W. , Wei-jie Fu, in preparation

Outline Introduction Effective action and flow equation Result Summary and outlook

Introduction The Wetterich equation: The Hot QCD White Paper (2015)

The 2 + 1 flavor PQM scale-dependant effective action local potential approximation (LPA): The quark chemical potential:

The 2 + 1 flavor PQM scale-dependant effective action Σ means the meson field: The covariant derivative of meson fields: The meson effctive potential:

The 2 + 1 flavor PQM scale-dependant effective action The Polyakov loops: Glue potential [arXiv:1307.5958] Pok Man Lo et al.

Flow equation

The meson and quark masses

The pressure and the trace anomaly Tc=194[MeV] HotQCD [arXiv:1407.6387] Tc=154[MeV] Wuppertal-Budapest [arXiv:1309.5258] Tc=156[MeV]

Baryon number fluctuations HotQCD [arXiv:1708.04897] Wuppertal-Budapest[arXiv:1305.5161]

The quarks fluctuations

Phase diagram

Ratios of baryon number fluctuations

Strange neutrality and fixed electric-baryon ratio

Convergence radius

Convergence radius

Thank you Summary and Outlook The equation of state and baryon number fluctuations up to 6th order agree with the lattice results. Strange neutrality and fixed electric-baryon ratio r=0.4 conditions are considered. Going beyond the LPA truncation and extending the low energy effective theory to the 2+1 flavor rebosonized QCD Thank you