The Wilson exact renormalization group equation and the anomalous dimension parameter

被引：7

作者：

Bervillier, C. ^{[1
]}

机构：

[1] Univ Tours, Federat Denis Poisson, CNRS, Lab Math & Phys Theor,UMR 7350, F-37200 Tours, France

来源：

CONDENSED MATTER PHYSICS | 2013年 / 16卷 / 02期

关键词：

exact renormalization group equation; anomalous dimension; EXPANSION; FLOW; POINT;

D O I：

10.5488/CMP.16.23003

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice. A simple expression for the exactly marginal redundant operator proceeds from this non-linearity, whereas in the linear case, first order differential equations must be solved to get it. The role of this operator in the construction of the flow equation is highlighted.

引用

页数：10

共 41 条

[1]

[Anonymous], ARXIVHEPTH0002231

[2] Introduction to the non-perturbative renormalization group and its recent applications [J].

Aoki, KI .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2000, 14 (12-13) :1249-1326

[3] Exact renormalization group equations: an introductory review [J].

Bagnuls, C ;

Bervillier, C .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 348 (1-2) :91-157

[4] SCHEME INDEPENDENCE AND THE EXACT RENORMALIZATION-GROUP [J].

BALL, RD ;

HAAGENSEN, PE ;

LATORRE, JI ;

MORENO, E .

PHYSICS LETTERS B, 1995, 347 (1-2) :80-88

[5] FINITE-LATTICE APPROXIMATIONS TO RENORMALIZATION GROUPS [J].

BELL, TL ;

WILSON, KG .

PHYSICAL REVIEW B, 1975, 11 (09) :3431-3444

[6] Non-perturbative renormalization flow in quantum field theory and statistical physics [J].

Berges, J ;

Tetradis, N ;

Wetterich, C .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 363 (4-6) :223-386

[7] The Wilson-Polchinski exact renormalization group equation [J].

Bervillier, C .

PHYSICS LETTERS A, 2004, 332 (1-2) :93-100

[8]

Bervillier C., UNPUB

[9] Nonperturbative renormalization-group approach to frustrated magnets [J].

Delamotte, B ;

Mouhanna, D ;

Tissier, M .

PHYSICAL REVIEW B, 2004, 69 (13) :134413-1

[10]

Delamotte B., 2007, ORDER DISORDER CRITI, V2, P1

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