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Title: Universality of the critical point mapping between Ising model and QCD at small quark mass

Abstract

The universality of the QCD equation of state near the critical point is expressed by mapping pressure as a function of temperature $T$ and baryon chemical potential $μ$ in QCD to Gibbs free energy as a function of reduced temperature $r$ and magnetic field $h$ in the Ising model. The mapping parameters are, in general, not universal, i.e., determined by details of the microscopic dynamics rather than by symmetries and long-distance dynamics. In this paper we point out that in the limit of small quark masses, when the critical point is close to the tricritical point, the mapping parameters show universal dependence on the quark mass $$m_ q$$. In particular, the angle between the $r = 0$ and $h = 0$ lines in the $(μ, T)$ plane vanishes as $$m^{2/5}_q$$. We discuss possible phenomenological consequences of these findings.

Authors:
ORCiD logo [1];  [1]
  1. Univ. of Illinois, Chicago, IL (United States)
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1609364
Alternate Identifier(s):
OSTI ID: 1560774
Grant/Contract Number:  
FG02-01ER41195; FG0201ER41195
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Critical phenomena; Equations of state; QCD phase transitions; Random matrix theory; Renormalization group

Citation Formats

Pradeep, Maneesha Sushama, and Stephanov, Mikhail. Universality of the critical point mapping between Ising model and QCD at small quark mass. United States: N. p., 2019. Web. https://doi.org/10.1103/physrevd.100.056003.
Pradeep, Maneesha Sushama, & Stephanov, Mikhail. Universality of the critical point mapping between Ising model and QCD at small quark mass. United States. https://doi.org/10.1103/physrevd.100.056003
Pradeep, Maneesha Sushama, and Stephanov, Mikhail. Mon . "Universality of the critical point mapping between Ising model and QCD at small quark mass". United States. https://doi.org/10.1103/physrevd.100.056003. https://www.osti.gov/servlets/purl/1609364.
@article{osti_1609364,
title = {Universality of the critical point mapping between Ising model and QCD at small quark mass},
author = {Pradeep, Maneesha Sushama and Stephanov, Mikhail},
abstractNote = {The universality of the QCD equation of state near the critical point is expressed by mapping pressure as a function of temperature $T$ and baryon chemical potential $μ$ in QCD to Gibbs free energy as a function of reduced temperature $r$ and magnetic field $h$ in the Ising model. The mapping parameters are, in general, not universal, i.e., determined by details of the microscopic dynamics rather than by symmetries and long-distance dynamics. In this paper we point out that in the limit of small quark masses, when the critical point is close to the tricritical point, the mapping parameters show universal dependence on the quark mass $m_ q$. In particular, the angle between the $r = 0$ and $h = 0$ lines in the $(μ, T)$ plane vanishes as $m^{2/5}_q$. We discuss possible phenomenological consequences of these findings.},
doi = {10.1103/physrevd.100.056003},
journal = {Physical Review D},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

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