Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method

被引：46

作者：

Engels, J ^{[1
]}

Mashkevich, S ^{[1
]}

Scheideler, T ^{[1
]}

Zinovjev, G ^{[1
]}

机构：

[1] NN BOGOLYUBOV THEORET PHYS INST, KIEV 252143, UKRAINE

来源：

PHYSICS LETTERS B | 1996年 / 365卷 / 1-4期

关键词：

D O I：

10.1016/0370-2693(95)01280-X

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We determine the critical point and the ratios beta/nu and gamma/nu of critical exponents of the deconfinement transition in SU(2) gauge theory by applying the chi(2)-method to Monte Carlo data of the modulus and the square of the Polyakov loop. With the same technique we find from the Binder cumulant g(r) its universal value at the critical point in the thermodynamical limit to -1.403(16) and for the next-to-leading exponent omega = 1 +/- 0.1. From the derivatives of the Polyakov loop dependent quantities we estimate then 1/nu. The result from the derivative of gr is 1/nu = 0.63 +/- 0.01, in complete agreement with that of the 3d Ising model.

引用

收藏

页码：219 / 224

页数：6

相关论文

共 15 条

[1]

Barber M.N., 1983, PHASE TRANSITIONS CR, V8, P146

[2] 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

[3] THE PARTITION-FUNCTION OF Z(2) AND Z(8) LATTICE GAUGE-THEORY IN 4 DIMENSIONS, A NOVEL-APPROACH TO SIMULATIONS OF LATTICE SYSTEMS [J].

BHANOT, G ;

BITAR, K ;

BLACK, S ;

CARTER, P ;

SALVADOR, R .

PHYSICS LETTERS B, 1987, 187 (3-4) :381-386

[4] ON SOLVING 4-DIMENSIONAL SU(2) GAUGE-THEORY BY NUMERICALLY FINDING ITS PARTITION-FUNCTION [J].

BHANOT, G ;

BITAR, K ;

SALVADOR, R .

PHYSICS LETTERS B, 1987, 188 (02) :246-252

[5] A NEW METHOD FOR THE PARTITION-FUNCTION OF DISCRETE-SYSTEMS WITH APPLICATION TO THE 3D ISING-MODEL [J].

BHANOT, G ;

BLACK, S ;

CARTER, P ;

SALVADOR, R .

PHYSICS LETTERS B, 1987, 183 (3-4) :331-336

[6] FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].

BINDER, K .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140

[7] EFFICIENT CALCULATION OF CRITICAL PARAMETERS IN SU(2) GAUGE-THEORY [J].

ENGELS, J ;

FINGBERG, J ;

MITRJUSHKIN, VK .

PHYSICS LETTERS B, 1993, 298 (1-2) :154-158

[8] FINITE SIZE SCALING ANALYSIS OF SU(2) LATTICE GAUGE-THEORY IN (3 + 1) DIMENSIONS [J].

ENGELS, J ;

FINGBERG, J ;

WEBER, M .

NUCLEAR PHYSICS B, 1990, 332 (03) :737-759

[9] PHENOMENOLOGICAL RENORMALIZATION AND SCALING BEHAVIOR OF SU(2) LATTICE GAUGE-THEORY [J].

ENGELS, J ;

FINGBERG, J ;

MILLER, DE .

NUCLEAR PHYSICS B, 1992, 387 (02) :501-519

[10] COMPLEX ZEROS IN THE PARTITION-FUNCTION OF THE 4-DIMENSIONAL SU(2) LATTICE GAUGE-MODEL [J].

FALCIONI, M ;

MARINARI, E ;

PACIELLO, ML ;

PARISI, G ;

TAGLIENTI, B .

PHYSICS LETTERS B, 1982, 108 (4-5) :331-332