EXACT BETA FUNCTIONS IN THE VECTOR MODEL AND RENORMALIZATION-GROUP APPROACH

被引：10
|
作者：
HIGUCHI, S
ITOI, C
SAKAI, N
机构：
[1] NIHON UNIV, COLL SCI & TECHNOL, DEPT PHYS, TOKYO 101, JAPAN
[2] NIHON UNIV, COLL SCI & TECHNOL, ATOM ENERGY RES INST, TOKYO 101, JAPAN
来源：
PHYSICS LETTERS B | 1993年 / 312卷 / 1-2期
关键词：
D O I：
10.1016/0370-2693(93)90493-2
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The validity of the renormalization group approach for large N is clarified by using the vector model as an example. An exact difference equation is obtained which relates free energies for neighboring values of N. The reparametrization freedom in field space provides infinitely many identities which reduce the infinite dimensional coupling constant space to that of finite dimensions. The effective beta functions give exact values for the fixed points and the susceptibility exponents.
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页码：88 / 96
页数：9
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