skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Interface tension in SU(3) lattice gauge theory at finite temperatures on an [ital N][sub [ital t]]=2 lattice

Abstract

The surface tension [sigma] of the confined-deconfined interface is calculated in pure SU(3) lattice gauge theory at finite temperatures employing the operator and integral methods on a lattice of a size 8[sup 2][times][ital N][sub [ital z]][times]2 with [ital N][sub [ital z]]=16 and 40. A mild size dependence of 20% is observed for the integral method, while the operator results suffer from a severe size effect of a factor of 2 between the two lattice sizes. The problems of the operator method associated with nonperturbative corrections to asymmetry response functions are discussed. Our result with the integral method [sigma]/[ital T][sub [ital c]][sup 3]=0.134(16) for [ital N][sub [ital z]]=40 is consistent with that obtained with a transfer matrix method, while a determination with a histogram method gives a slightly smaller value. A result is also reported on [sigma] obtained on a lattice 18[sup 2][times]48[times]4 with the integral method.

Authors:
;  [1]
  1. Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)
Publication Date:
OSTI Identifier:
6807921
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 50:11; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; SURFACE TENSION; ASYMMETRY; CORRECTIONS; GAUGE INVARIANCE; RESPONSE FUNCTIONS; SU-3 GROUPS; TEMPERATURE DEPENDENCE; TRANSFER MATRIX METHOD; CALCULATION METHODS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; QUANTUM FIELD THEORY; SU GROUPS; SURFACE PROPERTIES; SYMMETRY GROUPS; 662230* - Quantum Chromodynamics- (1992-); 662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

Citation Formats

Aoki, Y, and Kanaya, K. Interface tension in SU(3) lattice gauge theory at finite temperatures on an [ital N][sub [ital t]]=2 lattice. United States: N. p., 1994. Web. doi:10.1103/PhysRevD.50.6921.
Aoki, Y, & Kanaya, K. Interface tension in SU(3) lattice gauge theory at finite temperatures on an [ital N][sub [ital t]]=2 lattice. United States. doi:10.1103/PhysRevD.50.6921.
Aoki, Y, and Kanaya, K. Thu . "Interface tension in SU(3) lattice gauge theory at finite temperatures on an [ital N][sub [ital t]]=2 lattice". United States. doi:10.1103/PhysRevD.50.6921.
@article{osti_6807921,
title = {Interface tension in SU(3) lattice gauge theory at finite temperatures on an [ital N][sub [ital t]]=2 lattice},
author = {Aoki, Y and Kanaya, K},
abstractNote = {The surface tension [sigma] of the confined-deconfined interface is calculated in pure SU(3) lattice gauge theory at finite temperatures employing the operator and integral methods on a lattice of a size 8[sup 2][times][ital N][sub [ital z]][times]2 with [ital N][sub [ital z]]=16 and 40. A mild size dependence of 20% is observed for the integral method, while the operator results suffer from a severe size effect of a factor of 2 between the two lattice sizes. The problems of the operator method associated with nonperturbative corrections to asymmetry response functions are discussed. Our result with the integral method [sigma]/[ital T][sub [ital c]][sup 3]=0.134(16) for [ital N][sub [ital z]]=40 is consistent with that obtained with a transfer matrix method, while a determination with a histogram method gives a slightly smaller value. A result is also reported on [sigma] obtained on a lattice 18[sup 2][times]48[times]4 with the integral method.},
doi = {10.1103/PhysRevD.50.6921},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 50:11,
place = {United States},
year = {1994},
month = {12}
}