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Title: Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action

Abstract

We study the equation of state at finite temperature and density in two-flavor QCD with the renormalization group improved gluon action and the clover-improved Wilson quark action on a 16{sup 3}x4 lattice. Along the lines of constant physics at m{sub PS}/m{sub V}=0.65 and 0.80, we compute the second and forth derivatives of the grand canonical partition function with respect to the quark chemical potential {mu}{sub q}=({mu}{sub u}+{mu}{sub d})/2 and the isospin chemical potential {mu}{sub I}=({mu}{sub u}-{mu}{sub d})/2 at vanishing chemical potentials, and study the behaviors of thermodynamic quantities at finite {mu}{sub q} using these derivatives for the case {mu}{sub I}=0. In particular, we study density fluctuations at nonezero temperature and density by calculating the quark number and isospin susceptibilities and their derivatives with respect to {mu}{sub q}. To suppress statistical fluctuations, we also examine new techniques applicable at low densities. We find a large enhancement in the fluctuation of the quark number when the density increased near the pseudocritical temperature, suggesting a critical point at finite {mu}{sub q} terminating the first order transition line between hadronic and quark-gluon-plasma phases. This result agrees with the previous results using staggered-type quark actions qualitatively. Furthermore, we study heavy-quark free energies and Debye screeningmore » masses at finite density by measuring the first and second derivatives of these quantities for various color channels of heavy quark-quark and quark-antiquark pairs. The results suggest that, to the leading order of {mu}{sub q}, the interaction between two quarks becomes stronger at finite densities, while that between quark and antiquark becomes weaker.« less

Authors:
 [1];  [2];  [3];  [4]; ;  [5];  [4];  [6]
  1. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
  2. En'yo Laboratory, RIKEN Nishina Accelerator Research Center, Saitama 351-0198 (Japan)
  3. Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577 (Japan)
  4. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571 (Japan)
  5. Department of Physics, University of Tokyo, Tokyo 113-0033 (Japan)
  6. Graduate School of Education, Hiroshima University, Hiroshima 739-8524 (Japan)
Publication Date:
OSTI Identifier:
21410053
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.82.014508; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTIQUARKS; B QUARKS; C QUARKS; DENSITY; EQUATIONS OF STATE; FLAVOR MODEL; FLUCTUATIONS; FREE ENERGY; GLUONS; HADRONS; ISOSPIN; MASS; PARTITION FUNCTIONS; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARK-ANTIQUARK INTERACTIONS; RENORMALIZATION; T QUARKS; ANTIMATTER; ANTIPARTICLES; BEAUTY PARTICLES; BOSONS; CHARM PARTICLES; COMPOSITE MODELS; ELEMENTARY PARTICLES; ENERGY; EQUATIONS; FERMIONS; FIELD THEORIES; FUNCTIONS; INTERACTIONS; MATHEMATICAL MODELS; MATTER; PARTICLE INTERACTIONS; PARTICLE MODELS; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; POSTULATED PARTICLES; QUANTUM FIELD THEORY; QUARK MODEL; QUARKS; THERMODYNAMIC PROPERTIES; TOP PARTICLES; VARIATIONS

Citation Formats

Ejiri, S, Maezawa, Y, Ukita, N, Aoki, S, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Hatsuda, T, Ishii, N, Kanaya, K, and Umeda, T. Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.014508.
Ejiri, S, Maezawa, Y, Ukita, N, Aoki, S, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Hatsuda, T, Ishii, N, Kanaya, K, & Umeda, T. Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action. United States. https://doi.org/10.1103/PHYSREVD.82.014508
Ejiri, S, Maezawa, Y, Ukita, N, Aoki, S, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Hatsuda, T, Ishii, N, Kanaya, K, and Umeda, T. Thu . "Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action". United States. https://doi.org/10.1103/PHYSREVD.82.014508.
@article{osti_21410053,
title = {Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action},
author = {Ejiri, S and Maezawa, Y and Ukita, N and Aoki, S and RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 and Hatsuda, T and Ishii, N and Kanaya, K and Umeda, T},
abstractNote = {We study the equation of state at finite temperature and density in two-flavor QCD with the renormalization group improved gluon action and the clover-improved Wilson quark action on a 16{sup 3}x4 lattice. Along the lines of constant physics at m{sub PS}/m{sub V}=0.65 and 0.80, we compute the second and forth derivatives of the grand canonical partition function with respect to the quark chemical potential {mu}{sub q}=({mu}{sub u}+{mu}{sub d})/2 and the isospin chemical potential {mu}{sub I}=({mu}{sub u}-{mu}{sub d})/2 at vanishing chemical potentials, and study the behaviors of thermodynamic quantities at finite {mu}{sub q} using these derivatives for the case {mu}{sub I}=0. In particular, we study density fluctuations at nonezero temperature and density by calculating the quark number and isospin susceptibilities and their derivatives with respect to {mu}{sub q}. To suppress statistical fluctuations, we also examine new techniques applicable at low densities. We find a large enhancement in the fluctuation of the quark number when the density increased near the pseudocritical temperature, suggesting a critical point at finite {mu}{sub q} terminating the first order transition line between hadronic and quark-gluon-plasma phases. This result agrees with the previous results using staggered-type quark actions qualitatively. Furthermore, we study heavy-quark free energies and Debye screening masses at finite density by measuring the first and second derivatives of these quantities for various color channels of heavy quark-quark and quark-antiquark pairs. The results suggest that, to the leading order of {mu}{sub q}, the interaction between two quarks becomes stronger at finite densities, while that between quark and antiquark becomes weaker.},
doi = {10.1103/PHYSREVD.82.014508},
url = {https://www.osti.gov/biblio/21410053}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 82,
place = {United States},
year = {2010},
month = {7}
}