ULTRAVIOLET FIXED-POINT STRUCTURE OF RENORMALIZABLE 4-FERMION THEORY IN LESS THAN 4 DIMENSIONS

被引:38
作者
KIKUKAWA, Y
YAMAWAKI, K
机构
[1] Department of Physics, Nagoya University, Nagoya
关键词
D O I
10.1016/0370-2693(90)92046-L
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the renormalization properties of the four-fermion theory in less than four dimensions (D<4) in the 1/N expansion scheme. It is shown that the β function of the bare coupling has a nontrivial ultraviolet fixed point with a large anomalous dimension (γm = D-2) in a similar manner to QED and the gauged Nambu-Jona-Lasinio (NJL) model. The anomalous dimension has no discontinuity across the fixed point in sharp contrast to the gauged NJL model. The operator product expansion of the fermion mass function is also given. © 1990.
引用
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页码:497 / 502
页数:6
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