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

Journal Article · · Physical Review. D.
ORCiD logo [1];  [1]
  1. Univ. of Illinois, Chicago, IL (United States)
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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.

Research Organization:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-01ER41195; FG0201ER41195
OSTI ID:
1609364
Alternate ID(s):
OSTI ID: 1560774
Journal Information:
Physical Review. D., Vol. 100, Issue 5; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Critical phenomena
Equations of state
QCD phase transitions
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