AN IMPROVED ESTIMATOR FOR THE CORRELATION-FUNCTION OF 2D NONLINEAR SIGMA-MODELS

被引：10

作者：

HASENBUSCH, M

机构：

[1] DAMTP, Cambridge, CB3 9EW England, Silver Street

来源：

NUCLEAR PHYSICS B | 1995年

关键词：

D O I：

10.1016/0920-5632(95)00375-J

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：

I present a new improved estimator for the correlation function of 2D nonlinear sigma models. Numerical tests for the 2D XY model and the 2D O(3)-invariant vector model were performed, For small physical volume a reduction of the statistical error of the finite system correlation length by a factor of up to 30 compared to the cluster-improved estimator was observed. This improvement allows for a very accurate determination of the running coupling proposed by M. Luscher et al. for 2D O(N)-invariant vector models.

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页码：764 / 766

页数：3

相关论文

共 10 条

[1] HIGH-PRECISION RENORMALIZATION-GROUP STUDY OF THE ROUGHENING TRANSITION [J].

HASENBUSCH, M ;

MARCU, M ;

PINN, K .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1994, 208 (01) :124-161

[2]

HASENBUSCH M, CERNTH737594 PREPR

[3] ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS [J].

Kosterlitz, JM ;

Thouless, DJ .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07) :1181-1203

[4] A NUMERICAL-METHOD TO COMPUTE THE RUNNING COUPLING IN ASYMPTOTICALLY FREE THEORIES [J].

LUSCHER, M ;

WEISZ, P ;

WOLFF, U .

NUCLEAR PHYSICS B, 1991, 359 (01) :221-243

[5] THE STRATEGY FOR COMPUTING THE HADRONIC MASS-SPECTRUM [J].

PARISI, G .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 103 (1-4) :203-211

[6] A MEASUREMENT OF THE STRING TENSION NEAR THE CONTINUUM-LIMIT [J].

PARISI, G ;

PETRONZIO, R ;

RAPUANO, F .

PHYSICS LETTERS B, 1983, 128 (06) :418-420

[7] INTERACTION OF GOLDSTONE PARTICLES IN 2 DIMENSIONS - APPLICATIONS TO FERROMAGNETS AND MASSIVE YANG-MILLS FIELDS [J].

POLYAKOV, AM .

PHYSICS LETTERS B, 1975, 59 (01) :79-81

[8] COLLECTIVE MONTE-CARLO UPDATING IN A HIGH-PRECISION STUDY OF THE X-Y MODEL [J].

WOLFF, U .

NUCLEAR PHYSICS B, 1989, 322 (03) :759-774

[9] ASYMPTOTIC FREEDOM AND MASS GENERATION IN THE O(3) NONLINEAR SIGMA-MODEL [J].

WOLFF, U .

NUCLEAR PHYSICS B, 1990, 334 (03) :581-610

[10] COLLECTIVE MONTE-CARLO UPDATING FOR SPIN SYSTEMS [J].

WOLFF, U .

PHYSICAL REVIEW LETTERS, 1989, 62 (04) :361-364