Abstract
High order cumulants of the baryon number distribution are calculated in a 2+1 flavor low energy effective model. Quantum fluctuations are encoded through the functional renormalization group approach. The chiral and deconfinement phase transitions are investigated at finite temperature and baryon chemical potential. The equation of state for the QCD matter, fluctuations of the baryon number and the strangeness up to sixth order are calculated, and one finds the results are consistent with those from lattice QCD.
Highlights
Studying the phase structure of the hot and/or dense QCD matter has attracted lots of attention in recent years
Baryon number fluctuations have been studied in the two flavor low energy effective theory within the functional renormalization group (FRG) approach in [18,19,20], and consistent results have been observed with the improvement of the truncation for the FRG [21]
When we refer to results at finite temperature or chemical potential, the RG scale k 1⁄4 0 is assumed, which is still applicable in the following
Summary
Studying the phase structure of the hot and/or dense QCD matter has attracted lots of attention in recent years. Baryon number fluctuations have been studied in the two flavor low energy effective theory within the functional renormalization group (FRG) approach in [18,19,20], and consistent results have been observed with the improvement of the truncation for the FRG [21]. As a nonperturbative continuum field approach, FRG has been successfully applied in first-principle QCD calculations, and significant progress has been made in recent years; see, e.g., [26,27,28,29,30] for more details It has been widely used in low energy effective theories; see e.g., [31,32,33,34,35,36,37,38,39,40]. We will not go into the details in this work, and for more relevant discussions as well as explicit expressions for the meson masses, see, e.g., [51]
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