Two loop divergences studied with one loop constrained differential renormalization

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.12.001· OSTI ID:20976786

Seijas, Cesar ^[1]

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1. Departamento de Fi sica de Parti culas, Universidade de Santiago de Compostela, E-15706 Santiago de Compostela (Spain)

In the context of differential renormalization, using constrained differential renormalization rules at one-loop, we show how to obtain concrete results in two-loop calculations without making use of Ward identities. In order to do that, we obtain a list of integrals with overlapping divergences compatible with CDR that can be applied to various two-loop background field calculations. As an example, we obtain the two-loop coefficient of the beta function of QED, SuperQED and Yang-Mills theory.

• OSTI ID: 20976786
• Journal Information: Annals of Physics (New York), Vol. 322, Issue 8; Other Information: DOI: 10.1016/j.aop.2006.12.001; PII: S0003-4916(06)00282-X; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FUNCTIONS
GAUGE INVARIANCE
INTEGRALS
QUANTUM ELECTRODYNAMICS
RENORMALIZATION
WARD IDENTITY
YANG-MILLS THEORY