Finitetemperature phase transition of SU(3) gauge theory on N sub t =4 and 6 lattices
Abstract
The deconfining finitetemperature 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 firstorder transition is confirmed both on the {ital N}{sub {ital t}}=4 and {ital N}{sub {ital t}}=6 lattices and clear twophase 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 finitesize 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 StefanBoltzmann value 8{pi}{sup 2}/15. The details of the data and the error analysis are presented.
 Authors:

 Institute of Physics, University of Tsukuba, Ibaraki 305 (Japan)
 Institute of Engineering Mechanics, University of Tsukuba, Ibaraki 305 (Japan)
 Department of Information Science, University of Tokyo, Tokyo 113 (Japan)
 National Laboratory for High Energy Physics, Ibaraki 305 (Japan)
 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 05562821
 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; SU3 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. Finitetemperature 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. Finitetemperature 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 .
"Finitetemperature 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 = {Finitetemperature 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 finitetemperature 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 firstorder transition is confirmed both on the {ital N}{sub {ital t}}=4 and {ital N}{sub {ital t}}=6 lattices and clear twophase 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 finitesize 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 StefanBoltzmann 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 = {05562821},
number = ,
volume = 46:10,
place = {United States},
year = {1992},
month = {11}
}