Testing the heating method with perturbation theory

被引:5
作者
Alles, B [1 ]
Beccaria, M [1 ]
Farchioni, F [1 ]
机构
[1] IST NAZL FIS NUCL,I-56100 PISA,ITALY
来源
PHYSICAL REVIEW D | 1996年 / 54卷 / 01期
关键词
D O I
10.1103/PhysRevD.54.1044
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The renormalization constants present in the lattice evaluation of the topological susceptibility can be nonperturbatively calculated by using the so-called heating method. We test this method for the O(3) nonlinear sigma model in two dimensions. We work in a regime where perturbative calculations are exact and useful to check the values obtained from the heating method. The result of the test is positive and it clarifies some features concerning the method. Our procedure also allows a rather accurate determination of the first perturbative coefficients.
引用
收藏
页码:1044 / 1049
页数:6
相关论文
共 21 条
[1]   RENORMALIZATION AND TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE - SU(2) YANG-MILLS THEORY [J].
ALLES, B ;
CAMPOSTRINI, M ;
DIGIACOMO, A ;
GUNDUC, Y ;
VICARI, E .
PHYSICAL REVIEW D, 1993, 48 (05) :2284-2289
[2]  
BELAVIN AA, 1975, JETP LETT+, V22, P245
[3]   LATTICE SYSTEMS WITH A CONTINUOUS SYMMETRY .3. LOW-TEMPERATURE ASYMPTOTIC-EXPANSION FOR THE PLANE ROTATOR MODEL [J].
BRICMONT, J ;
FONTAINE, JR ;
LEBOWITZ, JL ;
LIEB, EH ;
SPENCER, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 78 (04) :545-566
[4]   INSTANTON ANTI-INSTANTON INTERACTION IN THE O(3) NON-LINEAR SIGMA-MODEL AND AN EXACTLY SOLUBLE FERMION THEORY [J].
BUKHVOSTOV, AP ;
LIPATOV, LN .
NUCLEAR PHYSICS B, 1981, 180 (01) :116-140
[5]   TOPOLOGICAL CHARGE, RENORMALIZATION AND COOLING ON THE LATTICE [J].
CAMPOSTRINI, M ;
DIGIACOMO, A ;
PANAGOPOULOS, H ;
VICARI, E .
NUCLEAR PHYSICS B, 1990, 329 (03) :683-697
[6]   RENORMALIZATION AND TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE [J].
DIGIACOMO, A ;
VICARI, E .
PHYSICS LETTERS B, 1992, 275 (3-4) :429-434
[7]   THE TOPOLOGICAL SUSCEPTIBILITY OF THE 2D O(3)SIGMA MODEL [J].
DIGIACOMO, A ;
FARCHIONI, F ;
PAPA, A ;
VICARI, E .
PHYSICS LETTERS B, 1992, 276 (1-2) :148-154
[8]   TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE - THE 2-DIMENSIONAL O(3) SIGMA-MODEL [J].
DIGIACOMO, A ;
FARCHIONI, F ;
PAPA, A ;
VICARI, E .
PHYSICAL REVIEW D, 1992, 46 (10) :4630-4642
[9]  
DRAPER T, 1994, NUCL PHYS B S, V34, P504
[10]   HEATING AND SMALL-SIZE INSTANTONS IN THE O(3) SIGMA-MODEL ON THE LATTICE [J].
FARCHIONI, F ;
PAPA, A .
NUCLEAR PHYSICS B, 1994, 431 (03) :686-708