Exact renormalization group equations: an introductory review

被引：355

作者：

Bagnuls, C ^{[1
]}

Bervillier, C

机构：

[1] CE Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France

[2] CE Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France

来源：

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 2001年 / 348卷 / 1-2期

关键词：

D O I：

10.1016/S0370-1573(00)00137-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

review) but the reader will Emd (at the end of the review) a set of references to existing studies on more complex systems. (C) 2001 Published by Elsevier Science B.V.We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of the ERGE and on an approximation method to solve it: the derivative expansion. The leading order of this expansion appears as an excellent textbook example to underline the nonperturbative features of the Wilson renormalization group theory. We limit ourselves to the consideration of the scalar field (this is why it is an introductory.

引用

页码：91 / 157

页数：67

共 342 条

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

BELL, TL ;

WILSON, KG .

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

[32] Renormalons [J].

Beneke, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 317 (1-2) :1-142

[33] NON-ANALYTICITY OF THE PERTURBATIVE EXPANSION FOR SUPER-RENORMALIZABLE MASSLESS FIELD-THEORIES [J].

BERGERE, MC ;

DAVID, F .

ANNALS OF PHYSICS, 1982, 142 (02) :416-447

[34] Critical behavior of φ4-theory from the thermal renormalization group [J].

Bergerhoff, B .

PHYSICS LETTERS B, 1998, 437 (3-4) :381-389

[35] A consistent nonperturbative approach to thermal damping-rates [J].

Bergerhoff, B ;

Reingruber, J .

PHYSICS LETTERS B, 2000, 488 (3-4) :435-442

[36]

Bergerhoff B, 1999, PHYS REV D, V60, DOI 10.1103/PhysRevD.60.105036

[37] Phase diagram of superconductors from nonperturbative flow equations [J].

Bergerhoff, B ;

Freire, F ;

Litim, DF ;

Lola, S ;

Wetterich, C .

PHYSICAL REVIEW B, 1996, 53 (09) :5734-5757

[38] Phase transition of N-component superconductors [J].

Bergerhoff, B ;

Litim, DF ;

Lola, S ;

Wetterich, C .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (23) :4273-4306

[39] Thermal renormalization group for fermions, universality, and the chiral phase transition [J].

Bergerhoff, B ;

Manus, J ;

Reingruber, J .

PHYSICAL REVIEW D, 2000, 61 (12)

[40] Effective quark interactions and QCD propagators [J].

Bergerhoff, B ;

Wetterich, C .

PHYSICAL REVIEW D, 1998, 57 (03) :1591-1604

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