Published March 23, 2009
| Version v1
Journal article
Systematization of basic divergent integrals in perturbation theory and renormalization group functions
- 1. Federal University of Minas Gerais, Physics Department, ICEx, PO Box 702, 30.161-970 Belo Horizonte, MG (Brazil)
- 2. Centro Federal de Educacao Tecnologica, MG, Avenida Amazonas, 7675, 30510-000 Nova Gameleira, Belo Horizonte, MG (Brazil)
Description
We show that to n loop order the divergent content of a Feynman amplitude is spanned by a set of basic (logarithmically divergent) integrals Ilog(i)(λ2), i=1,2,...,n, λ 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
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physletb.2009.02.023Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2009.02.023;
- arXiv
- arXiv:0812.3846v2;
- PII
- S0370-2693(09)00190-7;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 673
- Journal Issue
- 3
- Journal Page Range
- p. 220-226
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40050629
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AMPLITUDES; FUNCTIONS; INTEGRALS; PERTURBATION THEORY; RENORMALIZATION
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.