Abstract
Correlations of conserved charges, i.e., the baryon number, electric charge, and strangeness, are calculated at finite temperature and chemical potentials up to the fourth order. The calculations are done in a 2+1 flavor low energy effective theory, in which the quantum and thermal fluctuations are encoded through the evolution of flow equations within the functional renormalization group approach. Strangeness neutrality and a fixed ratio of the electric charge to the baryon number density are implemented throughout the computation. We find that higher-order correlations incorporate more sensitive critical dynamics than the quadratic ones. In addition, a non-monotonic dependence of the fourth-order correlations between the baryon number and strangeness, i.e., and , on the collision energy is also observed.
Highlights
Studies of the QCD phase structure have attracted a number of attentions in the past decade, and enormous efforts, both from the experimental and theoretical sides, were involved in the promising but challenging task to search for the critical end point (CEP) in the QCD phase diagram
The predictive capacity of the lattice simulations is hampered by the sign disaster when the baryon chemical potential is high, other complementary first principle theoretical methods, e.g. the widely used functional approaches of QCD, like the functional renormalization group [7– 14] and Dyson-Schwinger equations (DSE) [15–20], have predicted the existence of a CEP in the phase diagram spanned by the temperature and the baryon chemical potential
It is remarkable to note that, very recently a phase diagram has been extracted from a detailed QCD calculation at nonzero temperature and density within the functional renormalization group (fRG) approach, and a critical end point is predicted in the phase diagram [14]
Summary
Studies of the QCD phase structure have attracted a number of attentions in the past decade, and enormous efforts, both from the experimental and theoretical sides, were involved in the promising but challenging task to search for the critical end point (CEP) in the QCD phase diagram. We employ the 2+1 flavor low energy effective theory within the fRG approach, which has already been used and described in detail in our former work [28]. It is remarkable to note that, very recently a phase diagram has been extracted from a detailed QCD calculation at nonzero temperature and density within the fRG approach, and a critical end point is predicted in the phase diagram [14]. The baryon number, electric charge and the strangeness, are calculated at finite temperature and density up to the fourth order. Within LPA one is left with only the flow equation of Uk. After the flow is evolved from the UV cutoff toward the IR limit, i.e., k = 0, quantum fluctuations of different scales, as well as thermal and density fluctuations, are encoded in the effective potential Uk=0.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
