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 longdistance 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:

 Univ. of Illinois, Chicago, IL (United States)
 Publication Date:
 Research Org.:
 Univ. of Illinois at UrbanaChampaign, 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:
 FG0201ER41195; FG0201ER41195
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 24700010
 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 longdistance 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}
}
Web of Science
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