Latticebased equation of state at finite baryon number, electric charge, and strangeness chemical potentials
Abstract
We construct an equation of state for quantum chromodynamics $$\text{QCD}$$ at finite temperature and chemical potentials for baryon number $$\textit{B}$$, electric charge $$\textit{Q}$$, and strangeness $$\textit{S}$$. We use the Taylor expansion method to the fourth power for the chemical potentials. This requires the knowledge of all diagonal and nondiagonal $$\textit{BQS}$$ correlators up to fourth order: These results recently became available from lattice $$\text{QCD}$$ simulations, albeit only at a finite lattice spacing $$N_t$$ = 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 hightemperature regime, we impose a smooth approach to the StefanBoltzmann limit. We provide a parametrization for each one of these $$\textit{BQS}$$ 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 $$μ_S = μ_Q = 0$$. 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.
 Authors:

 Rutgers Univ., Piscataway, NJ (United States); Univ. of Illinois at UrbanaChampaign, IL (United States)
 Univ. of Wuppertal (Germany); Univ. of Houston, TX (United States)
 Univ. of Houston, TX (United States)
 Publication Date:
 Research Org.:
 Rutgers Univ., Piscataway, NJ (United States); Univ. of Illinois at UrbanaChampaign, IL (United States)
 Sponsoring Org.:
 National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG)
 OSTI Identifier:
 1580174
 Alternate Identifier(s):
 OSTI ID: 1803605; OSTI ID: 1836584
 Grant/Contract Number:
 SC0019175; PHY1654219; SFB/TR55; SC0020633
 Resource Type:
 Published Article
 Journal Name:
 Physical Review. C
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 6; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics; Lattice Quantum Chromodynamics; Equation of State
Citation Formats
NoronhaHostler, J., Parotto, P., Ratti, C., and Stafford, J. M. Latticebased equation of state at finite baryon number, electric charge, and strangeness chemical potentials. United States: N. p., 2019.
Web. doi:10.1103/physrevc.100.064910.
NoronhaHostler, J., Parotto, P., Ratti, C., & Stafford, J. M. Latticebased equation of state at finite baryon number, electric charge, and strangeness chemical potentials. United States. https://doi.org/10.1103/physrevc.100.064910
NoronhaHostler, J., Parotto, P., Ratti, C., and Stafford, J. M. Mon .
"Latticebased equation of state at finite baryon number, electric charge, and strangeness chemical potentials". United States. https://doi.org/10.1103/physrevc.100.064910.
@article{osti_1580174,
title = {Latticebased equation of state at finite baryon number, electric charge, and strangeness chemical potentials},
author = {NoronhaHostler, J. and Parotto, P. and Ratti, C. and Stafford, J. M.},
abstractNote = {We construct an equation of state for quantum chromodynamics $\text{QCD}$ at finite temperature and chemical potentials for baryon number $\textit{B}$, electric charge $\textit{Q}$, and strangeness $\textit{S}$. We use the Taylor expansion method to the fourth power for the chemical potentials. This requires the knowledge of all diagonal and nondiagonal $\textit{BQS}$ correlators up to fourth order: These results recently became available from lattice $\text{QCD}$ simulations, albeit only at a finite lattice spacing $N_t$ = 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 hightemperature regime, we impose a smooth approach to the StefanBoltzmann limit. We provide a parametrization for each one of these $\textit{BQS}$ 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 $μ_S = μ_Q = 0$. 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.},
doi = {10.1103/physrevc.100.064910},
journal = {Physical Review. C},
number = 6,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}
https://doi.org/10.1103/physrevc.100.064910
Web of Science
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Works referencing / citing this record:
QCD equation of state at finite densities for nuclear collisions
journal, January 2021
 Monnai, Akihiko; Schenke, Björn; Shen, Chun
 Nuclear Physics A, Vol. 1005