Systematization of basic divergent integrals in perturbation theory and renormalization group functions

被引：18
|
作者：
Brito, L. C. T. [1 ]
Fargnoli, H. G. [1 ]
Scarpelli, A. P. Baeta [2 ]
Sampaio, Marcos [1 ]
Nemes, M. C. [1 ]
机构：
[1] Univ Fed Minas Gerais, Dept Phys, ICEx, BR-30161970 Belo Horizonte, MG, Brazil
[2] Ctr Fed Educacao Tecnol MG, BR-30510000 Belo Horizonte, MG, Brazil
来源：
PHYSICS LETTERS B | 2009年 / 673卷 / 03期
关键词：
ONE-LOOP ORDER; IMPLICIT REGULARIZATION; YUKAWA MODEL;
D O I：
10.1016/j.physletb.2009.02.023
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We show that to it loop order the divergent content of a Feynman amplitude is spanned by a set of basic (logarithmically divergent) integrals I-log((i)) (lambda(2)), i = 1, 2,..., n, lambda being the renormalization group scale, which need not be evaluated. Only the coefficients of the basic divergent integrals are show to determine renormalization group functions. Relations between these coefficients of different loop orders are derived. (C) 2009 Elsevier B.V. All rights reserved.
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页码：220 / 226
页数：7
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