Effect of scheme transformations on a beta function with vanishing one-loop term

被引:2
|
作者
Ryttov, Thomas A. [1 ]
Shrock, Robert [2 ,3 ]
机构
[1] Southern Denmark Univ, CP3 Origins, Campusvej 55, Odense, Denmark
[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[3] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA
来源
PHYSICAL REVIEW D | 2020年 / 102卷 / 05期
基金
美国国家科学基金会;
关键词
GAUGE-THEORIES; BEHAVIOR;
D O I
10.1103/PhysRevD.102.056016
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is commonly stated that because terms in the beta function of a theory at the level of l >= 3 loops and higher are scheme dependent, it is possible to define scheme transformations that can be used to remove these terms, at least in the vicinity of zero coupling. We prove that this is not, in general, possible in the situation where a beta function is not identically zero but has a vanishing one-loop term.
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页数:6
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