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Title: Heavy-quark free energy, Debye mass, and spatial string tension at finite temperature in two flavor lattice QCD with Wilson quark action

Abstract

We study Polyakov loop correlations and spatial Wilson loop at finite temperature in two-flavor QCD simulations with the RG-improved gluon action and the clover-improved Wilson quark action on a 16{sup 3}x4 lattice. From the line of constant physics at m{sub PS}/m{sub V}=0.65 and 0.80, we extract the heavy-quark free energies, the effective running coupling g{sub eff}(T) and the Debye screening mass m{sub D}(T) for various color channels of heavy quark-quark and quark-antiquark pairs above the critical temperature. The free energies are well approximated by the screened Coulomb form with the appropriate Casimir factors at high temperature. The magnitude and the temperature dependence of the Debye mass are compared to those of the next-to-leading-order thermal perturbation theory and to a phenomenological formula in terms of g{sub eff}(T). We make a comparison between our results with the Wilson quark action and the previous results with the staggered quark action. The spatial string tension is also studied in the high temperature phase and is compared to the next-to-next-leading-order prediction in an effective theory with dimensional reduction.

Authors:
;  [1]; ;  [2];  [3];  [4];  [3]
  1. Department of Physics, The University of Tokyo, Tokyo 113-0033 (Japan)
  2. Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577 (Japan)
  3. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571 (Japan)
  4. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
Publication Date:
OSTI Identifier:
21020292
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.074501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; B QUARKS; C QUARKS; COLOR MODEL; COMPARATIVE EVALUATIONS; CORRELATIONS; COUPLING; CRITICAL TEMPERATURE; FLAVOR MODEL; FREE ENERGY; GLUONS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARK-ANTIQUARK INTERACTIONS; REST MASS; T QUARKS; TEMPERATURE DEPENDENCE; WILSON LOOP

Citation Formats

Maezawa, Y, Hatsuda, T, Ukita, N, Ishii, N, Aoki, S, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Ejiri, S, and Kanaya, K. Heavy-quark free energy, Debye mass, and spatial string tension at finite temperature in two flavor lattice QCD with Wilson quark action. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.074501.
Maezawa, Y, Hatsuda, T, Ukita, N, Ishii, N, Aoki, S, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Ejiri, S, & Kanaya, K. Heavy-quark free energy, Debye mass, and spatial string tension at finite temperature in two flavor lattice QCD with Wilson quark action. United States. https://doi.org/10.1103/PHYSREVD.75.074501
Maezawa, Y, Hatsuda, T, Ukita, N, Ishii, N, Aoki, S, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Ejiri, S, and Kanaya, K. Sun . "Heavy-quark free energy, Debye mass, and spatial string tension at finite temperature in two flavor lattice QCD with Wilson quark action". United States. https://doi.org/10.1103/PHYSREVD.75.074501.
@article{osti_21020292,
title = {Heavy-quark free energy, Debye mass, and spatial string tension at finite temperature in two flavor lattice QCD with Wilson quark action},
author = {Maezawa, Y and Hatsuda, T and Ukita, N and Ishii, N and Aoki, S and RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 and Ejiri, S and Kanaya, K},
abstractNote = {We study Polyakov loop correlations and spatial Wilson loop at finite temperature in two-flavor QCD simulations with the RG-improved gluon action and the clover-improved Wilson quark action on a 16{sup 3}x4 lattice. From the line of constant physics at m{sub PS}/m{sub V}=0.65 and 0.80, we extract the heavy-quark free energies, the effective running coupling g{sub eff}(T) and the Debye screening mass m{sub D}(T) for various color channels of heavy quark-quark and quark-antiquark pairs above the critical temperature. The free energies are well approximated by the screened Coulomb form with the appropriate Casimir factors at high temperature. The magnitude and the temperature dependence of the Debye mass are compared to those of the next-to-leading-order thermal perturbation theory and to a phenomenological formula in terms of g{sub eff}(T). We make a comparison between our results with the Wilson quark action and the previous results with the staggered quark action. The spatial string tension is also studied in the high temperature phase and is compared to the next-to-next-leading-order prediction in an effective theory with dimensional reduction.},
doi = {10.1103/PHYSREVD.75.074501},
url = {https://www.osti.gov/biblio/21020292}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 75,
place = {United States},
year = {2007},
month = {4}
}