Chiral crossover in QCD at zero and non-zero chemical potentials
Abstract
We present results for pseudo-critical temperatures of QCD chiral crossovers at zero and non-zero values of baryon (B), strangeness (S), electric charge (Q), and isospin (I) chemical potentials µX=B,Q,S,I. The results were obtained using lattice QCD calculations carried out with two degenerate up and down dynamical quarks and a dynamical strange quark, with quark masses corresponding to physical values of pion and kaon masses in the continuum limit. By parameterizing pseudo-critical temperatures as Tc(µX) = Tc(0) [1 – κX2 (µX/Tc(0))2 – κ4X (µX/Tc(0))4], we determined κX2 and κX4 from Taylor expansions of chiral observables in µX . We obtained a precise result for Tc(0) = (156.5 ± 1.5) MeV. For analogous thermal conditions at the chemical freeze-out of relativistic heavy-ion collisions, i.e., µS (T, µB) and µQ(T, µB) fixed from strangeness-neutrality and isospin-imbalance, we found κ2B =0.012(4) and κ4B =0.000(4). For µB ≲ 300 MeV, the chemical freeze-out takes place in the vicinity of the QCD phase boundary, which coincides with the lines of constant energy density of 0.42(6) GeV/fm3 and constant entropy density of 3.7(5) fm–3.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1545894
- Alternate Identifier(s):
- OSTI ID: 1557713
- Report Number(s):
- BNL-211871-2019-JAAM
Journal ID: ISSN 0370-2693; S0370269319303223; PII: S0370269319303223
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters B
- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 795 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Bazavov, A., Ding, H. -T., Hegde, P., Kaczmarek, O., Karsch, F., Karthik, N., Laermann, E., Lahiri, Anirban, Larsen, R., Li, S. -T., Mukherjee, Swagato, Ohno, H., Petreczky, P., Sandmeyer, H., Schmidt, C., Sharma, S., and Steinbrecher, P.. Chiral crossover in QCD at zero and non-zero chemical potentials. Netherlands: N. p., 2019.
Web. doi:10.1016/j.physletb.2019.05.013.
Bazavov, A., Ding, H. -T., Hegde, P., Kaczmarek, O., Karsch, F., Karthik, N., Laermann, E., Lahiri, Anirban, Larsen, R., Li, S. -T., Mukherjee, Swagato, Ohno, H., Petreczky, P., Sandmeyer, H., Schmidt, C., Sharma, S., & Steinbrecher, P.. Chiral crossover in QCD at zero and non-zero chemical potentials. Netherlands. https://doi.org/10.1016/j.physletb.2019.05.013
Bazavov, A., Ding, H. -T., Hegde, P., Kaczmarek, O., Karsch, F., Karthik, N., Laermann, E., Lahiri, Anirban, Larsen, R., Li, S. -T., Mukherjee, Swagato, Ohno, H., Petreczky, P., Sandmeyer, H., Schmidt, C., Sharma, S., and Steinbrecher, P.. Thu .
"Chiral crossover in QCD at zero and non-zero chemical potentials". Netherlands. https://doi.org/10.1016/j.physletb.2019.05.013.
@article{osti_1545894,
title = {Chiral crossover in QCD at zero and non-zero chemical potentials},
author = {Bazavov, A. and Ding, H. -T. and Hegde, P. and Kaczmarek, O. and Karsch, F. and Karthik, N. and Laermann, E. and Lahiri, Anirban and Larsen, R. and Li, S. -T. and Mukherjee, Swagato and Ohno, H. and Petreczky, P. and Sandmeyer, H. and Schmidt, C. and Sharma, S. and Steinbrecher, P.},
abstractNote = {We present results for pseudo-critical temperatures of QCD chiral crossovers at zero and non-zero values of baryon (B), strangeness (S), electric charge (Q), and isospin (I) chemical potentials µX=B,Q,S,I. The results were obtained using lattice QCD calculations carried out with two degenerate up and down dynamical quarks and a dynamical strange quark, with quark masses corresponding to physical values of pion and kaon masses in the continuum limit. By parameterizing pseudo-critical temperatures as Tc(µX) = Tc(0) [1 – κX2 (µX/Tc(0))2 – κ4X (µX/Tc(0))4], we determined κX2 and κX4 from Taylor expansions of chiral observables in µX . We obtained a precise result for Tc(0) = (156.5 ± 1.5) MeV. For analogous thermal conditions at the chemical freeze-out of relativistic heavy-ion collisions, i.e., µS (T, µB) and µQ(T, µB) fixed from strangeness-neutrality and isospin-imbalance, we found κ2B =0.012(4) and κ4B =0.000(4). For µB ≲ 300 MeV, the chemical freeze-out takes place in the vicinity of the QCD phase boundary, which coincides with the lines of constant energy density of 0.42(6) GeV/fm3 and constant entropy density of 3.7(5) fm–3.},
doi = {10.1016/j.physletb.2019.05.013},
journal = {Physics Letters B},
number = C,
volume = 795,
place = {Netherlands},
year = {2019},
month = {8}
}
https://doi.org/10.1016/j.physletb.2019.05.013
Web of Science
Works referenced in this record:
Freeze-Out Conditions in Heavy Ion Collisions from QCD Thermodynamics
journal, November 2012
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review Letters, Vol. 109, Issue 19
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
Bulk properties of the medium produced in relativistic heavy-ion collisions from the beam energy scan program
journal, October 2017
- Adamczyk, L.; Adkins, J. K.; Agakishiev, G.
- Physical Review C, Vol. 96, Issue 4
Phase boundary for the chiral transition in ( )-flavor QCD at small values of the chemical potential
journal, January 2011
- Kaczmarek, O.; Karsch, F.; Laermann, E.
- Physical Review D, Vol. 83, Issue 1
QCD thermal phase transition in the presence of a small chemical potential
journal, October 2002
- Allton, C. R.; Ejiri, S.; Hands, S. J.
- Physical Review D, Vol. 66, Issue 7
Chiral and deconfinement aspects of the QCD transition
journal, March 2012
- Bazavov, A.; Bhattacharya, T.; Cheng, M.
- Physical Review D, Vol. 85, Issue 5
Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential
journal, October 2017
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review D, Vol. 96, Issue 7
Equation of state for two flavor QCD at nonzero chemical potential
journal, July 2003
- Allton, C. R.; Ejiri, S.; Hands, S. J.
- Physical Review D, Vol. 68, Issue 1
Critical line of flavor QCD
journal, April 2014
- Cea, Paolo; Cosmai, Leonardo; Papa, Alessandro
- Physical Review D, Vol. 89, Issue 7
Faster method of computation of lattice quark number susceptibilities
journal, March 2012
- Gavai, R. V.; Sharma, Sayantan
- Physical Review D, Vol. 85, Issue 5
Chiral phase transition of (2+1)-flavor QCD
journal, February 2019
- Ding, H. -T.; Hegde, P.; Karsch, F.
- Nuclear Physics A, Vol. 982
Curvature of the chiral pseudocritical line in QCD
journal, December 2014
- Bonati, Claudio; D’Elia, Massimo; Mariti, Marco
- Physical Review D, Vol. 90, Issue 11
A new look at the statistical model identification
journal, December 1974
- Akaike, H.
- IEEE Transactions on Automatic Control, Vol. 19, Issue 6
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
QCD equation of state to from lattice QCD
journal, March 2017
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review D, Vol. 95, Issue 5
Cosmic QCD Epoch at Nonvanishing Lepton Asymmetry
journal, November 2018
- Wygas, Mandy M.; Oldengott, Isabel M.; Bödeker, Dietrich
- Physical Review Letters, Vol. 121, Issue 20
Critical line of flavor QCD: Toward the continuum limit
journal, January 2016
- Cea, Paolo; Cosmai, Leonardo; Papa, Alessandro
- Physical Review D, Vol. 93, Issue 1
Curvature of the freeze-out line in heavy ion collisions
journal, January 2016
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review D, Vol. 93, Issue 1
Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
journal, September 2018
- Bonati, Claudio; D’Elia, Massimo; Negro, Francesco
- Physical Review D, Vol. 98, Issue 5
QCD phase diagram for nonzero isospin-asymmetry
journal, March 2018
- Brandt, B. B.; Endrődi, G.; Schmalzbauer, S.
- Physical Review D, Vol. 97, Issue 5
Heavy Ion Collisions: The Big Picture and the Big Questions
journal, October 2018
- Busza, Wit; Rajagopal, Krishna; van der Schee, Wilke
- Annual Review of Nuclear and Particle Science, Vol. 68, Issue 1
The QCD phase diagram from analytic continuation
journal, December 2015
- Bellwied, R.; Borsanyi, S.; Fodor, Z.
- Physics Letters B, Vol. 751
The phase diagram of dense QCD
journal, December 2010
- Fukushima, Kenji; Hatsuda, Tetsuo
- Reports on Progress in Physics, Vol. 74, Issue 1
Pressure and nonlinear susceptibilities in QCD at finite chemical potentials
journal, August 2003
- Gavai, Rajiv V.; Gupta, Sourendu
- Physical Review D, Vol. 68, Issue 3
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
Thermodynamics of two flavor QCD to sixth order in quark chemical potential
journal, March 2005
- Allton, C. R.; Döring, M.; Ejiri, S.
- Physical Review D, Vol. 71, Issue 5
Magnetic equation of state in ( )-flavor QCD
journal, November 2009
- Ejiri, S.; Karsch, F.; Laermann, E.
- Physical Review D, Vol. 80, Issue 9
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
Unifying the derivations for the Akaike and corrected Akaike information criteria
journal, April 1997
- Cavanaugh, Joseph E.
- Statistics & Probability Letters, Vol. 33, Issue 2
Divergences in the quark number susceptibility: The origin and a cure
journal, October 2015
- Gavai, Rajiv V.; Sharma, Sayantan
- Physics Letters B, Vol. 749
Thermal QCD transition with two flavors of twisted mass fermions
journal, April 2013
- Burger, Florian; Ilgenfritz, Ernst-Michael; Kirchner, Malik
- Physical Review D, Vol. 87, Issue 7
Decoding the phase structure of QCD via particle production at high energy
journal, September 2018
- Andronic, Anton; Braun-Munzinger, Peter; Redlich, Krzysztof
- Nature, Vol. 561, Issue 7723
QCD Phase Transition with Chiral Quarks and Physical Quark Masses
journal, August 2014
- Bhattacharya, Tanmoy; Buchoff, Michael I.; Christ, Norman H.
- Physical Review Letters, Vol. 113, Issue 8
The order of the quantum chromodynamics transition predicted by the standard model of particle physics
journal, October 2006
- Aoki, Y.; Endrődi, G.; Fodor, Z.
- Nature, Vol. 443, Issue 7112
Fluctuations and correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
journal, August 2012
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C. E.
- Physical Review D, Vol. 86, Issue 3
Works referencing / citing this record:
Bayesian estimation of the specific shear and bulk viscosity of quark–gluon plasma
journal, August 2019
- Bernhard, Jonah E.; Moreland, J. Scott; Bass, Steffen A.
- Nature Physics, Vol. 15, Issue 11
Canonical statistical model analysis of , -Pb, and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
journal, November 2019
- Vovchenko, Volodymyr; Dönigus, Benjamin; Stoecker, Horst
- Physical Review C, Vol. 100, Issue 5
Temperature and fluid velocity on the freeze-out surface from , , and spectra in , -Pb, and Pb-Pb collisions
journal, January 2020
- Mazeliauskas, Aleksas; Vislavicius, Vytautas
- Physical Review C, Vol. 101, Issue 1
Dependence of the static quark free energy on and the crossover temperature of QCD
journal, September 2019
- D’Elia, Massimo; Negro, Francesco; Rucci, Andrea
- Physical Review D, Vol. 100, Issue 5
Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
journal, October 2019
- Isserstedt, Philipp; Buballa, Michael; Fischer, Christian S.
- Physical Review D, Vol. 100, Issue 7
Hadron resonance gas with repulsive mean field interaction: Thermodynamics and transport properties
journal, October 2019
- Kadam, Guruprakash; Mishra, Hiranmaya
- Physical Review D, Vol. 100, Issue 7
Roberge-Weiss transitions at different center symmetry breaking patterns in a -QCD model
journal, October 2019
- Li, Xiu-Fei; Zhang, Zhao
- Physical Review D, Vol. 100, Issue 7
Mesonic dynamics and the QCD phase transition
journal, November 2019
- Yin, Shi; Wen, Rui; Fu, Wei-jie
- Physical Review D, Vol. 100, Issue 9
Strangeness neutrality and baryon-strangeness correlations
journal, December 2019
- Fu, Wei-jie; Pawlowski, Jan M.; Rennecke, Fabian
- Physical Review D, Vol. 100, Issue 11
Finite-density QCD transition in a magnetic background field
journal, December 2019
- Braguta, V. V.; Chernodub, M. N.; Kotov, A. Yu.
- Physical Review D, Vol. 100, Issue 11
QCD phase structure at finite temperature and density
journal, March 2020
- Fu, Wei-jie; Pawlowski, Jan M.; Rennecke, Fabian
- Physical Review D, Vol. 101, Issue 5
Chiral Phase Transition Temperature in ( )-Flavor QCD
journal, August 2019
- Ding, H. -T.; Hegde, P.; Kaczmarek, O.
- Physical Review Letters, Vol. 123, Issue 6
Hydrodynamic Attractors, Initial State Energy, and Particle Production in Relativistic Nuclear Collisions
journal, December 2019
- Giacalone, Giuliano; Mazeliauskas, Aleksas; Schlichting, Sören
- Physical Review Letters, Vol. 123, Issue 26
Quarks and light (pseudo-)scalar mesons at finite chemical potential
journal, September 2019
- Gunkel, Pascal J.; Fischer, Christian S.; Isserstedt, Philipp
- The European Physical Journal A, Vol. 55, Issue 9
Hadron resonance gas model and high multiplicities in p–p, p–Pb and Pb–Pb collisions at the LHC
journal, September 2019
- Cleymans, Jean; Hippolyte, Boris; Paradza, Masimba W.
- International Journal of Modern Physics E, Vol. 28, Issue 09
Impact of the Nuclear Equation of State on the Stability of Hybrid Neutron Stars
journal, August 2019
- Cierniak, Mateusz; Fischer, Tobias; Bastian, Niels-Uwe
- Universe, Vol. 5, Issue 8