The QCD Equation of state and critical end-point estimates at
Abstract
Here, we present results for the QCD Equation of State at non-zero chemical potentials corresponding to the conserved charges in QCD using Taylor expansion upto sixth order in the baryon number, electric charge and strangeness chemical potentials. The latter two are constrained by the strangeness neutrality and a fixed electric charge to baryon number ratio. In our calculations, we use the Highly Improved Staggered Quarks (HISQ) discretization scheme at physical quark masses and at different values of the lattice spacings to control lattice cut-off effects. Furthermore we calculate the pressure along lines of constant energy density, which serve as proxies for the freeze-out conditions and discuss their dependence on μΒ, which is necessary for hydrodynamic modelling near freezeout. We also provide an estimate of the radius of convergence of the Taylor series from the 6th order coefficients which provides a new constraint on the location of the critical end-point in the T-μΒ plane of the QCD phase diagram.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1478422
- Grant/Contract Number:
- SC001270
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Physics. A
- Additional Journal Information:
- Journal Volume: 967; Journal Issue: C; Journal ID: ISSN 0375-9474
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Finite temperature and density Quantum Chromodynamics; Quark-gluon plasma; critical point
Citation Formats
Sharma, Sayantan. The QCD Equation of state and critical end-point estimates at O(μB6). United States: N. p., 2017.
Web. doi:10.1016/j.nuclphysa.2017.05.008.
Sharma, Sayantan. The QCD Equation of state and critical end-point estimates at O(μB6). United States. https://doi.org/10.1016/j.nuclphysa.2017.05.008
Sharma, Sayantan. Mon .
"The QCD Equation of state and critical end-point estimates at O(μB6)". United States. https://doi.org/10.1016/j.nuclphysa.2017.05.008. https://www.osti.gov/servlets/purl/1478422.
@article{osti_1478422,
title = {The QCD Equation of state and critical end-point estimates at O(μB6)},
author = {Sharma, Sayantan},
abstractNote = {Here, we present results for the QCD Equation of State at non-zero chemical potentials corresponding to the conserved charges in QCD using Taylor expansion upto sixth order in the baryon number, electric charge and strangeness chemical potentials. The latter two are constrained by the strangeness neutrality and a fixed electric charge to baryon number ratio. In our calculations, we use the Highly Improved Staggered Quarks (HISQ) discretization scheme at physical quark masses and at different values of the lattice spacings to control lattice cut-off effects. Furthermore we calculate the pressure along lines of constant energy density, which serve as proxies for the freeze-out conditions and discuss their dependence on μΒ, which is necessary for hydrodynamic modelling near freezeout. We also provide an estimate of the radius of convergence of the Taylor series from the 6th order coefficients which provides a new constraint on the location of the critical end-point in the T-μΒ plane of the QCD phase diagram.},
doi = {10.1016/j.nuclphysa.2017.05.008},
journal = {Nuclear Physics. A},
number = C,
volume = 967,
place = {United States},
year = {Mon Sep 25 00:00:00 EDT 2017},
month = {Mon Sep 25 00:00:00 EDT 2017}
}
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Full result for the QCD equation of state with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> flavors
journal, March 2014
- Borsányi, Szabolcs; Fodor, Zoltán; Hoelbling, Christian
- Physics Letters B, Vol. 730
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
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
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
Hadron Mass Spectrum from Lattice QCD
journal, December 2010
- Majumder, Abhijit; Müller, Berndt
- Physical Review Letters, Vol. 105, Issue 25
Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freezeout in Heavy Ion Collisions
journal, August 2014
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review Letters, Vol. 113, Issue 7
Quark number susceptibilities, strangeness, and dynamical confinement
journal, September 2001
- Gavai, Rajiv V.; Gupta, Sourendu
- Physical Review D, Vol. 64, Issue 7
Chiral restoration at finite density and temperature
journal, November 1989
- Masayuki, Asakawa; Koichi, Yazaki
- Nuclear Physics A, Vol. 504, Issue 4
Phase diagram of QCD
journal, September 1998
- Halasz, M. A.; Jackson, A. D.; Shrock, R. E.
- Physical Review D, Vol. 58, Issue 9
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
Comparison of chemical freeze-out criteria in heavy-ion collisions
journal, March 2006
- Cleymans, J.; Oeschler, H.; Redlich, K.
- Physical Review C, Vol. 73, Issue 3
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
Chemical potential on the lattice
journal, June 1983
- Hasenfratz, P.; Karsch, F.
- Physics Letters B, Vol. 125, Issue 4
Faster method of computation of lattice quark number susceptibilities
journal, March 2012
- Gavai, R. V.; Sharma, Sayantan
- Physical Review D, Vol. 85, Issue 5
Divergences in the quark number susceptibility: The origin and a cure
journal, October 2015
- Gavai, Rajiv V.; Sharma, Sayantan
- Physics Letters B, Vol. 749