FINITE-SIZE SCALING AND CONFORMAL SYMMETRY AROUND THE (2+1)-DIMENSIONAL SU(2) DECONFINEMENT PHASE-TRANSITION

被引:12
作者
CHRISTENSEN, J
DAMGAARD, PH
机构
[1] The Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen
关键词
D O I
10.1016/0550-3213(91)90359-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Conformal invariance at a second-order phase transition yields an exact finite-size scaling theory on a two-dimensional cylindrical geometry. We combine this two-dimensional conformal field theory with a numerical investigation of the deconfinement phase transition of (2 + 1)-dimensional SU(2) lattice gauge theory. Results of this study and a more general finite-size scaling analysis on square lattices yield excellent agreement with d = 2 Ising critical behavior, as has been conjectured on the basis of universality.
引用
收藏
页码:339 / 368
页数:30
相关论文
共 32 条
[1]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[2]  
[Anonymous], 1971, CRITICAL PHENOMENA
[3]  
[Anonymous], 1987, PHASE TRANSITIONS CR
[4]  
[Anonymous], 2013, 2 DIMENSIONAL ISING
[5]  
[Anonymous], 1983, PHASE TRANSITIONS CR
[6]   FINITE-SIZE SCALING IN THE 3-DIMENSIONAL ISING-MODEL [J].
BARBER, MN ;
PEARSON, RB ;
TOUSSAINT, D ;
RICHARDSON, JL .
PHYSICAL REVIEW B, 1985, 32 (03) :1720-1730
[7]   INFINITE CONFORMAL SYMMETRY OF CRITICAL FLUCTUATIONS IN 2 DIMENSIONS [J].
BELAVIN, AA ;
POLYAKOV, AM ;
ZAMOLODCHIKOV, AB .
JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (5-6) :763-774
[8]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[9]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745
[10]   MOMENTS OF THE TOTAL MAGNETIZATION AND CONFORMAL-INVARIANCE IN THE FINITE TWO-DIMENSIONAL ISING-MODEL [J].
BURKHARDT, TW ;
DERRIDA, B .
PHYSICAL REVIEW B, 1985, 32 (11) :7273-7279