A RENORMALIZATION-GROUP ANALYSIS OF THE KOSTERLITZ-THOULESS PHASE

被引：22

作者：

DIMOCK, J ^{[1
]}

HURD, TR ^{[1
]}

机构：

[1] MCMASTER UNIV,DEPT MATH,HAMILTON L8S 4K1,ONTARIO,CANADA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 137卷 / 02期

关键词：

D O I：

10.1007/BF02431881

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a classical Coulomb gas with a short distance cutoff in two dimensions; equivalently a Sine-Gordon field theory. For low temperature beta-1 and low activity z the gas is in a multipole phase, the Kosterlitz-Thouless phase. For beta > 8-pi and z sufficiently small we give a complete renormalization group analysis for this phase and show that the flow of the effective measures is toward a free field (infrared asymptotic freedom). This should lead to control over the long distance behavior of the theory.

引用

页码：263 / 287

页数：25

共 14 条

[1]

BENFATTO G, 1986, COMMUN MATH PHYS, V106, P227

[2] GRAD PHI-PERTURBATIONS OF MASSLESS GAUSSIAN FIELDS [J].

BRYDGES, D ;

YAU, HT .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (02) :351-392

[3] DEBYE-SCREENING [J].

BRYDGES, DC ;

FEDERBUSH, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 73 (03) :197-246

[4] THE KOSTERLITZ-THOULESS PHASE IN A HIERARCHICAL MODEL [J].

DIMOCK, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07) :1207-1215

[5]

DIMOCK J, 1990, RENORMALIZATION GROU

[6]

FROHLICH J, 1981, COMMUN MATH PHYS, V81, P527, DOI 10.1007/BF01208273

[7] LATTICE DIPOLE GAS AND (DELTA PHI)4 MODELS AT LONG DISTANCES - DECAY OF CORRELATIONS AND SCALING LIMIT [J].

GAWEDZKI, K ;

KUPIAINEN, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 92 (04) :531-553

[8] BLOCK SPIN RENORMALIZATION-GROUP FOR DIPOLE GAS AND (DELTA-PHI)4 [J].

GAWEDZKI, K ;

KUPIANINEN, A .

ANNALS OF PHYSICS, 1983, 147 (01) :198-243

[9]

KAPPELER T, 1990, RENORMALIZATION GROU

[10] 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

← 1 2 →