Abstract
The chiral order-parameter σ field and its higher-order cumulants of fluctuations are calculated within the functional renormalization group approach by adopting the local potential approximation in this study. The influence of glue dynamics on fluctuations of the σ field is investigated, and we find that they are weakly affected. This is in sharp contrast to the baryon number fluctuations, which are sensitive to the glue dynamics and involve information on the color confinement. The implications of our calculated results are discussed from the viewpoint of the theoretical and experimental efforts in the search for the QCD critical end point.
Highlights
The chiral order-parameter σ field and its higher-order cumulants of fluctuations are calculated within the functional renormalization group approach
A nonmonotonic behavior of the kurtosis of the net proton multiplicity distribution with the change of the collision energy, has been observed in the beam energy scan (BES) program at the Relativistic Heavy-Ion Collider (RHIC) [1, 2, 3], which might be attributed to critical fluctuations near the critical ending point (CEP)
Preprint submitted to Elsevier its breaking, the QCD is characteristic of the color confinement, whose information is encoded in the glue dynamics
Summary
The chiral order-parameter σ field and its higher-order cumulants of fluctuations are calculated within the functional renormalization group approach. By employing the QCD-enhanced Polyakov–quark-meson (PQM) effective model [9], we will study the influence of the glue dynamics on the σ-field fluctuations, and compare it with the net baryon number fluctuations.
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