Title: Chiral Phase Transition Temperature in ( $2+1$ )-Flavor QCD

Abstract

The chiral phase transition temperature T$$0\atop{c}$$ is a fundamental quantity of QCD. To determine this quantity we have performed simulations of (2 + 1)-flavor QCD using the Highly Improved Staggered Quarks (HISQ/tree) action on $$N_{\tau}$$ = 6,8 and 12 lattices with aspect ratios $$N_σ$$ =$$N_{\tau}$$ ranging from 4 to 8. In our simulations the strange quark mass is fixed to its physical value $$m^{phy}_{s}$$, and the values of two degenerate light quark masses $$m_l$$ are varied from $$m^{phy}_{s}$$ /20 to $$m^{phy}_{s}$$ /160 which correspond to a Goldstone pion mass $$m_{\pi}$$ ranging from 160 MeV to 55 MeV in the continuum limit. By investigating the light quark mass dependence and the volume dependence of various chiral observables, e.g. chiral susceptibilities and Binder cumulants, no evidence for a first order phase transition in our current quark mass window is found. Two estimators T₆₀ and $$T_δ$$ are proposed to extract the chiral phase transition temperature T$$0\atop{c}$$ in the chiral and continuum limit and our current estimate for T$$0\atop{c}$$ is 132 $$^{+3}_{-6}$$ MeV.

Authors:

Ding, H. -T.; Hegde, P.; Kaczmarek, O.; Karsch, F.; Lahiri, Anirban; Li, S. -T.; Mukherjee, Swagato; Ohno, H.; Petreczky, P.; Schmidt, C.; Steinbrecher, P.; HotQCD Collaboration

Publication Date:

2019-08-08

Research Org.:

Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:

USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG); National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Contributing Org.:

HotQCD collaboration

OSTI Identifier:

1550581

Alternate Identifier(s):

OSTI ID: 1560007

Report Number(s):

BNL-212050-2019-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; 062002

Grant/Contract Number:  

SC0012704; 315477589- TRR 211; 05P15PBCAA; 05P18PBCA1; 11775096; 1535012

Resource Type:

Published Article

Journal Name:

Physical Review Letters

Additional Journal Information:

Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 6; Journal ID: ISSN 0031-9007

Publisher:

American Physical Society

Country of Publication:

United States

Language:

English

Subject:

73 NUCLEAR PHYSICS AND RADIATION PHYSICS