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Title: Finite-temperature phase transition of SU(3) gauge theory on N sub t =4 and 6 lattices

Abstract

The deconfining finite-temperature transition of SU(3) gauge theory is studied on the dedicated parallel computer QCDPAX. Monte Carlo simulations are performed on 12{sup 2}{times}24{times}4, 24{sup 2}{times}36{times}4, 20{sup 3}{times}6, 24{sup 3}{times}6, and 36{sup 2}{times}48{times}6 lattices with 376 000 to 1 112 000 iterations. The finite size scaling behavior of the first-order transition is confirmed both on the {ital N}{sub {ital t}}=4 and {ital N}{sub {ital t}}=6 lattices and clear two-phase structures are observed on spatially large lattices (24{sup 2}{times}36{times}4 and 36{sup 2}{times}48{times}6). The latent heat at the deconfining transition is estimated both by a direct measurement of the gap on the spatially large lattices and by applying a finite-size scaling law. The results obtained by these two independent methods are remarkably consistent with each other on both the {ital N}{sub {ital t}}=4 and 6 lattices. The latent heat for {ital N}{sub {ital t}}=6 is much smaller than that for {ital N}{sub {ital t}}=4 and is about 1/3 of the Stefan-Boltzmann value 8{pi}{sup 2}/15. The details of the data and the error analysis are presented.

Authors:
; ;  [1]; ;  [2];  [3];  [4];  [5]
  1. Institute of Physics, University of Tsukuba, Ibaraki 305 (Japan)
  2. Institute of Engineering Mechanics, University of Tsukuba, Ibaraki 305 (Japan)
  3. Department of Information Science, University of Tokyo, Tokyo 113 (Japan)
  4. National Laboratory for High Energy Physics, Ibaraki 305 (Japan)
  5. Department of Physics, Keio University, Yokohama 223 (Japan)
Publication Date:
OSTI Identifier:
7200554
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 46:10; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; TEMPERATURE DEPENDENCE; QUANTUM CHROMODYNAMICS; PHASE TRANSFORMATIONS; COMPUTERIZED SIMULATION; GAUGE INVARIANCE; MONTE CARLO METHOD; Q CODES; SCALING LAWS; SU-3 GROUPS; UNIVERSE; COMPUTER CODES; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; QUANTUM FIELD THEORY; SIMULATION; SU GROUPS; SYMMETRY GROUPS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)

Citation Formats

Iwasaki, Y, Kanaya, K, Yoshie, T, Hoshino, T, Shirakawa, T, Oyanagi, Y, Ichii, S, and Kawai, T. Finite-temperature phase transition of SU(3) gauge theory on N sub t =4 and 6 lattices. United States: N. p., 1992. Web. doi:10.1103/PhysRevD.46.4657.
Iwasaki, Y, Kanaya, K, Yoshie, T, Hoshino, T, Shirakawa, T, Oyanagi, Y, Ichii, S, & Kawai, T. Finite-temperature phase transition of SU(3) gauge theory on N sub t =4 and 6 lattices. United States. doi:10.1103/PhysRevD.46.4657.
Iwasaki, Y, Kanaya, K, Yoshie, T, Hoshino, T, Shirakawa, T, Oyanagi, Y, Ichii, S, and Kawai, T. Sun . "Finite-temperature phase transition of SU(3) gauge theory on N sub t =4 and 6 lattices". United States. doi:10.1103/PhysRevD.46.4657.
@article{osti_7200554,
title = {Finite-temperature phase transition of SU(3) gauge theory on N sub t =4 and 6 lattices},
author = {Iwasaki, Y and Kanaya, K and Yoshie, T and Hoshino, T and Shirakawa, T and Oyanagi, Y and Ichii, S and Kawai, T},
abstractNote = {The deconfining finite-temperature transition of SU(3) gauge theory is studied on the dedicated parallel computer QCDPAX. Monte Carlo simulations are performed on 12{sup 2}{times}24{times}4, 24{sup 2}{times}36{times}4, 20{sup 3}{times}6, 24{sup 3}{times}6, and 36{sup 2}{times}48{times}6 lattices with 376 000 to 1 112 000 iterations. The finite size scaling behavior of the first-order transition is confirmed both on the {ital N}{sub {ital t}}=4 and {ital N}{sub {ital t}}=6 lattices and clear two-phase structures are observed on spatially large lattices (24{sup 2}{times}36{times}4 and 36{sup 2}{times}48{times}6). The latent heat at the deconfining transition is estimated both by a direct measurement of the gap on the spatially large lattices and by applying a finite-size scaling law. The results obtained by these two independent methods are remarkably consistent with each other on both the {ital N}{sub {ital t}}=4 and 6 lattices. The latent heat for {ital N}{sub {ital t}}=6 is much smaller than that for {ital N}{sub {ital t}}=4 and is about 1/3 of the Stefan-Boltzmann value 8{pi}{sup 2}/15. The details of the data and the error analysis are presented.},
doi = {10.1103/PhysRevD.46.4657},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 46:10,
place = {United States},
year = {1992},
month = {11}
}