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

Pradeep, Maneesha Sushama; Stephanov, Mikhail

doi:10.1103/physrevd.100.056003

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

Journal Article · 09 September 2019 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.100.056003 · OSTI ID:1609364

^[1]; Stephanov, Mikhail ^[2]

Univ. of Illinois, Chicago, IL (United States); DOE/OSTI
Univ. of Illinois, Chicago, IL (United States)

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.

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Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: FG02-01ER41195

OSTI ID:: 1609364

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 100; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Charting the scaling region of the Ising universality class in two and three dimensions Caselle, Michele; Sorba, Marianna Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/physrevd.102.014505	journal	July 2020
Critical behavior of the bulk viscosity in QCD Martinez, M.; Schäfer, T.; Skokov, V. Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/physrevd.100.074017	journal	October 2019

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Critical phenomena
Equations of state
QCD phase transitions
Random matrix theory
Renormalization group

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

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References (44)

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