QCD equation of state matched to lattice data and exhibiting a critical point singularity
Name
PhysRevC.101.034901.pdf
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11.42 MB
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Author(s)
Parotto, Paolo
Bluhm, Marcus
Mroczek, Debora
Nahrgang, Marlene
Noronha-Hostler, J.
Rajagopal, Krishna
Ratti, Claudia
Schäfer, Thomas
Stephanov, Mikhail
Date Issued
March 2, 2020
Publisher
American Physical Society
Citation
Phys. Rev. C 101, 034901 (2020)
Version
Final published version
Abstract
We construct a family of equations of state for QCD in the temperature range 30MeV≤T≤800MeV and in the chemical potential range 0≤μ_{B}≤450MeV. These equations of state match available lattice QCD results up to O(μ_{B}^{4}) and in each of them we place a critical point in the three-dimensional (3D) Ising model universality class. The position of this critical point can be chosen in the range of chemical potentials covered by the second Beam Energy Scan at the Relativistic Heavy Ion Collider. We discuss possible choices for the free parameters, which arise from mapping the Ising model onto QCD. Our results for the pressure, entropy density, baryon density, energy density, and speed of sound can be used as inputs in the hydrodynamical simulations of the fireball created in heavy ion collisions. We also show our result for the second cumulant of the baryon number in thermal equilibrium, displaying its divergence at the critical point. In the future, comparisons between RHIC data and the output of the hydrodynamic simulations, including calculations of fluctuation observables, built upon the model equations of state that we have constructed may be used to locate the critical point in the QCD phase diagram, if there is one to be found.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution 3.0 unported license
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DOI of Published Version
https://doi.org/10.1103/PhysRevC.101.034901
