O(N) models within the local potential approximation

被引：53

作者：

Comellas, J

Travesset, A

机构：

[1] Dept. d'Estructura Constituents M., Facultat de Física, Universitat de Barcelona, 08028 Barcelona, Catalonia, Diagonal

来源：

NUCLEAR PHYSICS B | 1997年 / 498卷 / 03期

关键词：

renormalization group; fixed points; critical exponents; large N;

D O I：

10.1016/S0550-3213(97)00349-0

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：

Using the Wegner-Houghton equation, within the local potential approximation, we study critical properties of O(N) vector models. Fixed points, together with their critical exponents and eigenoperators, are obtained for a large set of values of N, including N = O and N --> infinity. Polchinski's equation is also treated. The peculiarities of the large N limit, where a line of Fixed Points at d = 2 + 2/n is present, are studied in detail. A derivation of the equation is presented together with its projection to zero-modes. (C) 1997 Elsevier Science B.V.

引用

页码：539 / 564

页数：26

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