Large-order asymptotes for dynamic models near equilibrium

被引：18

作者：

Honkonen, J

Komarova, MV

Nalimov, MY

机构：

[1] Univ Helsinki, Dept Phys Sci, Div Theoret Phys, FIN-00014 Helsinki, Finland

[2] St Petersburg State Univ, Dept Theoret Phys, St Petersburg 198504, Russia

来源：

NUCLEAR PHYSICS B | 2005年 / 707卷 / 03期

关键词：

instanton; dynamic models; large orders;

D O I：

10.1016/j.nuclphysb.2004.11.016

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：

Instanton analysis is applied to model A of critical dynamics. It is shown that the static instanton of the massless phi(4) model determines the large-order asymptotes of the perturbation expansion of the dynamic model. (C) 2004 Elsevier B.V All rights reserved.

引用

页码：493 / 508

页数：16

共 13 条

[1] Instanton for the Kraichnan passive scalar problem [J].

Balkovsky, E ;

Lebedev, V .

PHYSICAL REVIEW E, 1998, 58 (05) :5776-5795

[2] PERTURBATION-THEORY AT LARGE ORDER .1. PHI-2N-INTERACTION [J].

BREZIN, E ;

LEGUILLOU, JC ;

ZINNJUSTIN, J .

PHYSICAL REVIEW D, 1977, 15 (06) :1544-1557

[3] Instanton for random advection [J].

Chertkov, M .

PHYSICAL REVIEW E, 1997, 55 (03) :2722-2735

[4]

Dominicis CD., 1976, J PHYS-PARIS, V37, P247, DOI 10.1051/jphyscol:1976138

[5] Particles and fields in fluid turbulence [J].

Falkovich, G ;

Gawedzki, K ;

Vergassola, M .

REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :913-975

[6] THEORY OF DYNAMIC CRITICAL PHENOMENA [J].

HOHENBERG, PC ;

HALPERIN, BI .

REVIEWS OF MODERN PHYSICS, 1977, 49 (03) :435-479

[7] LAGRANGEAN FOR CLASSICAL FIELD DYNAMICS AND RENORMALIZATION GROUP CALCULATIONS OF DYNAMICAL CRITICAL PROPERTIES [J].

JANSSEN, HK .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1976, 23 (04) :377-380

[8] Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the (4-ε)-dimensionally regularized O(n)-symmetric φ4 theory [J].

Komarova, MV ;

Nalimov, MY .

THEORETICAL AND MATHEMATICAL PHYSICS, 2001, 126 (03) :339-353

[9]

LIPATOV LN, 1977, ZH EKSP TEOR FIZ+, V72, P411

[10] STATISTICAL DYNAMICS OF CLASSICAL SYSTEMS [J].

MARTIN, PC ;

SIGGIA, ED ;

ROSE, HA .

PHYSICAL REVIEW A, 1973, 8 (01) :423-437

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