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Title: QCD equation of state to O ( μ B 6 ) from lattice QCD

In this work, we calculated the QCD equation of state using Taylor expansions that include contributions from up to sixth order in the baryon, strangeness and electric charge chemical potentials. Calculations have been performed with the Highly Improved Staggered Quark action in the temperature range T ϵ [135 MeV, 330 MeV] using up to four different sets of lattice cut-offs corresponding to lattices of size N$$3\atop{σ}$$ × N τ with aspect ratio N σ/N τ = 4 and N τ = 6-16. The strange quark mass is tuned to its physical value and we use two strange to light quark mass ratios m s/m l = 20 and 27, which in the continuum limit correspond to a pion mass of about 160 MeV and 140 MeV respectively. Sixth-order results for Taylor expansion coefficients are used to estimate truncation errors of the fourth-order expansion. We show that truncation errors are small for baryon chemical potentials less then twice the temperature (µ B ≤ 2T ). The fourth-order equation of state thus is suitable for √the modeling of dense matter created in heavy ion collisions with center-of-mass energies down to √sNN ~ 12 GeV. We provide a parametrization of basic thermodynamic quantities that can be readily used in hydrodynamic simulation codes. The results on up to sixth order expansion coefficients of bulk thermodynamics are used for the calculation of lines of constant pressure, energy and entropy densities in the T -µ B plane and are compared with the crossover line for the QCD chiral transition as well as with experimental results on freeze-out parameters in heavy ion collisions. These coefficients also provide estimates for the location of a possible critical point. Lastly, we argue that results on sixth order expansion coefficients disfavor the existence of a critical point in the QCD phase diagram for µ B/T ≤ 2 and T/T cB = 0) > 0.9.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6] ;  [7] ;  [8] ;  [9] ;  [8] ;  [6] ;  [10] ;  [6] ;  [8] ;  [11] ;  [12]
  1. Michigan State Univ., East Lansing, MI (United States). Department of Computational Mathematics, Science and Engineering and Department of Physics and Astronomy
  2. China Central Normal Univ., Wuhan (China). Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics
  3. Indian Institute of Science, Bangalore (India). Center for High Energy Physics
  4. China Central Normal Univ., Wuhan (China). Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics; University of Bielefeld (Germany). Faculty of Physics
  5. University of Bielefeld (Germany). Faculty of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Department
  6. University of Bielefeld (Germany). Faculty of Physics
  7. Kyoto University (Japan). Yukawa Institute for Theoretical Physics
  8. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Department
  9. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Department; University of Tsukuba (Japan). Center for Computational Sciences
  10. University of Bielefeld (Germany). Faculty of Physics ; Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Department
  11. University of Regensburg (Germany). Institute of Theoretical Physics
  12. NVIDIA GmbH (Germany)
Publication Date:
Report Number(s):
BNL-113924-2017-JA; BNL-203400-2018-JAAM
Journal ID: ISSN 2470-0010
Grant/Contract Number:
SC0012704; SC001270; 05P12PBCTA
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1376098
Alternate Identifier(s):
OSTI ID: 1346090; OSTI ID: 1431282