Chiral Phase Transition Temperature in ( )-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:
- Publication Date:
- 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
Citation Formats
Ding, H. -T., Hegde, P., Kaczmarek, O., Karsch, F., Lahiri, Anirban, Li, S. -T., Mukherjee, Swagato, Ohno, H., Petreczky, P., Schmidt, C., Steinbrecher, P., and HotQCD Collaboration. Chiral Phase Transition Temperature in ( 2 + 1 )-Flavor QCD. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.062002.
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. Chiral Phase Transition Temperature in ( 2 + 1 )-Flavor QCD. United States. https://doi.org/10.1103/PhysRevLett.123.062002
Ding, H. -T., Hegde, P., Kaczmarek, O., Karsch, F., Lahiri, Anirban, Li, S. -T., Mukherjee, Swagato, Ohno, H., Petreczky, P., Schmidt, C., Steinbrecher, P., and HotQCD Collaboration. Thu .
"Chiral Phase Transition Temperature in ( 2 + 1 )-Flavor QCD". United States. https://doi.org/10.1103/PhysRevLett.123.062002.
@article{osti_1550581,
title = {Chiral Phase Transition Temperature in ( 2 + 1 )-Flavor QCD},
author = {Ding, H. -T. and Hegde, P. and Kaczmarek, O. and Karsch, F. and Lahiri, Anirban and Li, S. -T. and Mukherjee, Swagato and Ohno, H. and Petreczky, P. and Schmidt, C. and Steinbrecher, P. and HotQCD Collaboration},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.123.062002},
journal = {Physical Review Letters},
number = 6,
volume = 123,
place = {United States},
year = {Thu Aug 08 00:00:00 EDT 2019},
month = {Thu Aug 08 00:00:00 EDT 2019}
}
https://doi.org/10.1103/PhysRevLett.123.062002
Web of Science
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Works referenced in this record:
Two flavor chiral phase transition from nonperturbative flow equations
journal, January 1999
- Berges, J.; Jungnickel, D. -U.; Wetterich, C.
- Physical Review D, Vol. 59, Issue 3
Chiral crossover in QCD at zero and non-zero chemical potentials
journal, August 2019
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physics Letters B, Vol. 795
Finite size dependence of scaling functions of the three-dimensional model in an external field
journal, July 2014
- Engels, J.; Karsch, F.
- Physical Review D, Vol. 90, Issue 1
Susceptibilities, the specific heat, and a cumulant in two-flavor QCD
journal, December 1994
- Karsch, Frithjof; Laermann, Edwin
- Physical Review D, Vol. 50, Issue 11
Chiral and deconfinement aspects of the QCD transition
journal, March 2012
- Bazavov, A.; Bhattacharya, T.; Cheng, M.
- Physical Review D, Vol. 85, Issue 5
Chiral observables and topology in hot QCD with two families of quarks
journal, November 2018
- Burger, Florian; Ilgenfritz, Ernst-Michael; Lombardo, Maria Paola
- Physical Review D, Vol. 98, Issue 9
Chiral phase transition of (2+1)-flavor QCD
journal, February 2019
- Ding, H. -T.; Hegde, P.; Karsch, F.
- Nuclear Physics A, Vol. 982
Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
journal, November 2013
- Pelissetto, Andrea; Vicari, Ettore
- Physical Review D, Vol. 88, Issue 10
Eliminating leading corrections to scaling in the three-dimensional O ( N )-symmetric ϕ 4 model: N = 3 and 4
journal, October 2001
- Hasenbusch, Martin
- Journal of Physics A: Mathematical and General, Vol. 34, Issue 40
Curvature of the chiral pseudocritical line in QCD: Continuum extrapolated results
journal, September 2015
- Bonati, Claudio; D’Elia, Massimo; Mariti, Marco
- Physical Review D, Vol. 92, Issue 5
Equation of state and Goldstone-mode effects of the three-dimensional O(2) model
journal, October 2000
- Engels, J.; Holtmann, S.; Mendes, T.
- Physics Letters B, Vol. 492, Issue 1-2
Scales of Chiral Symmetry Breaking in Quantum Chromodynamics
journal, April 1982
- Kogut, J.; Stone, M.; Wyld, H. W.
- Physical Review Letters, Vol. 48, Issue 17
Equation of state in ( )-flavor QCD
journal, November 2014
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.
- Physical Review D, Vol. 90, Issue 9
Rooted staggered fermions: good, bad or ugly?
conference, December 2006
- Sharpe, Stephen R.
- Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)
Remarks on the chiral phase transition in chromodynamics
journal, January 1984
- Pisarski, Robert D.; Wilczek, Frank
- Physical Review D, Vol. 29, Issue 2
Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230]
journal, May 2007
- Bernard, Claude; Golterman, Maarten; Shamir, Yigal
- Physics Letters B, Vol. 649, Issue 2-3
The QCD transition temperature: results with physical masses in the continuum limit II
journal, June 2009
- Aoki, Yasumichi; Borsányi, Szabolcs; Dürr, Stephan
- Journal of High Energy Physics, Vol. 2009, Issue 06
Scaling functions of the free energy density and its derivatives for the model
journal, May 2012
- Engels, J.; Karsch, F.
- Physical Review D, Vol. 85, Issue 9
Thermodynamics of strong-interaction matter from lattice QCD
journal, October 2015
- Ding, Heng-Tong; Karsch, Frithjof; Mukherjee, Swagato
- International Journal of Modern Physics E, Vol. 24, Issue 10
Magnetic equation of state in ( )-flavor QCD
journal, November 2009
- Ejiri, S.; Karsch, F.; Laermann, E.
- Physical Review D, Vol. 80, Issue 9
Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
journal, September 2013
- Grahl, Mara; Rischke, Dirk H.
- Physical Review D, Vol. 88, Issue 5
Volume and quark mass dependence of the chiral phase transition
journal, April 2006
- Braun, J.; Klein, B.; Pirner, H. -J.
- Physical Review D, Vol. 73, Issue 7
Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007
- Follana, E.; Mason, Q.; Davies, C.
- Physical Review D, Vol. 75, Issue 5
Phase diagram of QCD
journal, September 1998
- Halasz, M. A.; Jackson, A. D.; Shrock, R. E.
- Physical Review D, Vol. 58, Issue 9
Numerical equation of state and other scaling functions from an improved three-dimensional Ising model
journal, April 2003
- Engels, J.; Fromme, L.; Seniuch, M.
- Nuclear Physics B, Vol. 655, Issue 3
Order of the chiral and continuum limits in staggered chiral perturbation theory
journal, May 2005
- Bernard, C.
- Physical Review D, Vol. 71, Issue 9
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