SCHEME INDEPENDENCE AND THE EXACT RENORMALIZATION-GROUP

被引：116

作者：

BALL, RD

HAAGENSEN, PE

LATORRE, JI

MORENO, E

机构：

[1] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND

[2] MCGILL UNIV, DEPT PHYS, MONTREAL, PQ H3A 2T8, CANADA

[3] UNIV BARCELONA, FAC FIS, DEPT ESTRUCTURA & CONSTITUENTS MAT, E-08028 BARCELONA, SPAIN

来源：

PHYSICS LETTERS B | 1995年 / 347卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(95)00025-G

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute critical exponents in a Z(2) symmetric scalar field theory in three dimensions, using Wilson's exact renormalization group equations expanded in powers of derivatives. A nontrivial relation between these exponents is confirmed explicitly at the first two orders in the derivative expansion. At leading order all our results are cutoff independent, while at next-to-leading order they are not, and the determination of critical exponents becomes ambiguous. We discuss the possible ways in which this scheme ambiguity might be resolved.

引用

页码：80 / 88

页数：9

共 21 条

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[12] NON-PERTURBATIVE RENORMALIZATION-GROUP FOR FIELD-THEORIES WITH SCALARS AND FERMIONS [J].