PAINLEVE-III AND 2D POLYMERS

被引：98

作者：

ZAMOLODCHIKOV, AB

机构：

来源：

NUCLEAR PHYSICS B | 1994年 / 432卷 / 03期

关键词：

D O I：

10.1016/0550-3213(94)90029-9

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：

Recently, the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was the related to the Painleve III transcendent. Using perturbation theory, the thermodynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.

引用

收藏

页码：427 / 456

页数：30

相关论文

共 26 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] 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

[3]

CARDY J, 1993, UCSBTH9312 PREPR

[4] A NEW SUPERSYMMETRIC INDEX [J].

CECOTTI, S ;

FENDLEY, P ;

INTRILIGATOR, K ;

VAFA, C .

NUCLEAR PHYSICS B, 1992, 386 (02) :405-452

[5] GEOMETRY OF N = 2 LANDAU-GINZBURG FAMILIES [J].

CECOTTI, S .

NUCLEAR PHYSICS B, 1991, 355 (03) :755-775

[6] TOPOLOGICAL ANTI-TOPOLOGICAL FUSION [J].

CECOTTI, S ;

VAFA, C .

NUCLEAR PHYSICS B, 1991, 367 (02) :359-461

[7] N = 2 LANDAU-GINZBURG VS CALABI-YAU SIGMA-MODELS - NONPERTURBATIVE ASPECTS [J].

CECOTTI, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (10) :1749-1813

[8] NEW THERMODYNAMIC BETHE ANSATZ EQUATIONS WITHOUT STRINGS [J].

DESTRI, C ;

DEVEGA, HJ .

PHYSICAL REVIEW LETTERS, 1992, 69 (16) :2313-2317

[9] NEW EXACT RESULTS IN AFFINE TODA FIELD-THEORIES - FREE-ENERGY AND WAVE-FUNCTION RENORMALIZATIONS [J].

DESTRI, C ;

DEVEGA, HJ .

NUCLEAR PHYSICS B, 1991, 358 (01) :251-294

[10] 4-POINT CORRELATION-FUNCTIONS AND THE OPERATOR ALGEBRA IN 2D CONFORMAL INVARIANT THEORIES WITH CENTRAL CHARGE C LESS-THAN-OR-EQUAL-TO 1 [J].

DOTSENKO, VS ;

FATEEV, VA .

NUCLEAR PHYSICS B, 1985, 251 (5-6) :691-734