The QCD Equation of state and critical endpoint estimates at $\mathcal{O}\left({\mu}_{B}^{6}\right)$
Abstract
Here, we present results for the QCD Equation of State at nonzero 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 cutoff effects. Furthermore we calculate the pressure along lines of constant energy density, which serve as proxies for the freezeout conditions and discuss their dependence on μ_{Β}, 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 endpoint in the Tμ_{Β} 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 Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center
 Sponsoring Org.:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 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 03759474
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Finite temperature and density Quantum Chromodynamics; Quarkgluon plasma; critical point
Citation Formats
Sharma, Sayantan. The QCD Equation of state and critical endpoint 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 endpoint estimates at O(μB6). United States. doi:https://doi.org/10.1016/j.nuclphysa.2017.05.008
Sharma, Sayantan. Mon .
"The QCD Equation of state and critical endpoint estimates at O(μB6)". United States. doi: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 endpoint estimates at O(μB6)},
author = {Sharma, Sayantan},
abstractNote = {Here, we present results for the QCD Equation of State at nonzero 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 cutoff effects. Furthermore we calculate the pressure along lines of constant energy density, which serve as proxies for the freezeout 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 endpoint in the TμΒ 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 = {2017},
month = {9}
}
Web of Science