TY - JOUR

T1 - Lattice-based equation of state at finite baryon number, electric charge, and strangeness chemical potentials

AU - Noronha-Hostler, J.

AU - Parotto, P.

AU - Ratti, C.

AU - Stafford, J. M.

N1 - Funding Information:
This material is based on work supported by the National Science Foundation under Grant No. PHY-1654219 and by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, within the framework of the Beam Energy Scan Topical Collaboration. We also acknowledge the support from the Center of Advanced Computing and Data Systems at the University of Houston. J.N.H. acknowledges support from the US-DOE Nuclear Science Grant No. DE-SC0019175. P.P. also acknowledges support by the DFG Grant No. SFB/TR55.
Publisher Copyright:
© 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP.

PY - 2019/12/23

Y1 - 2019/12/23

N2 - We construct an equation of state for quantum chromodynamics (QCD) at finite temperature and chemical potentials for baryon number B, electric charge Q, and strangeness S. We use the Taylor expansion method to the fourth power for the chemical potentials. This requires the knowledge of all diagonal and nondiagonal BQS correlators up to fourth order: These results recently became available from lattice QCD simulations, albeit only at a finite lattice spacing Nt=12. We smoothly merge these results to the hadron resonance gas as model, to be able to reach temperatures as low as 30 MeV; in the high-temperature regime, we impose a smooth approach to the Stefan-Boltzmann limit. We provide a parametrization for each one of these BQS correlators as functions of the temperature. We then calculate pressure, energy density, entropy density, baryonic, strangeness, and electric charge densities and compare the two cases of strangeness neutrality and μS=μQ=0. Finally, we calculate the isentropic trajectories and the speed of sound and compare them in the two cases. Our equation of state can be readily used as an input of hydrodynamical simulations of matter created at the Relativistic Heavy Ion Collider.

AB - We construct an equation of state for quantum chromodynamics (QCD) at finite temperature and chemical potentials for baryon number B, electric charge Q, and strangeness S. We use the Taylor expansion method to the fourth power for the chemical potentials. This requires the knowledge of all diagonal and nondiagonal BQS correlators up to fourth order: These results recently became available from lattice QCD simulations, albeit only at a finite lattice spacing Nt=12. We smoothly merge these results to the hadron resonance gas as model, to be able to reach temperatures as low as 30 MeV; in the high-temperature regime, we impose a smooth approach to the Stefan-Boltzmann limit. We provide a parametrization for each one of these BQS correlators as functions of the temperature. We then calculate pressure, energy density, entropy density, baryonic, strangeness, and electric charge densities and compare the two cases of strangeness neutrality and μS=μQ=0. Finally, we calculate the isentropic trajectories and the speed of sound and compare them in the two cases. Our equation of state can be readily used as an input of hydrodynamical simulations of matter created at the Relativistic Heavy Ion Collider.

UR - http://www.scopus.com/inward/record.url?scp=85077384241&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85077384241&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.100.064910

DO - 10.1103/PhysRevC.100.064910

M3 - Article

AN - SCOPUS:85077384241

VL - 100

JO - Physical Review C

JF - Physical Review C

SN - 2469-9985

IS - 6

M1 - 064910

ER -