UNIVERSAL REGULARIZATIONS .4. COMPENSATIONS OF DIAGRAMS IN WARD IDENTITIES

Citation
Oi. Zavialov et Am. Malokostov, UNIVERSAL REGULARIZATIONS .4. COMPENSATIONS OF DIAGRAMS IN WARD IDENTITIES, Theoretical and mathematical physics, 108(2), 1996, pp. 1046-1068
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
108
Issue
2
Year of publication
1996
Pages
1046 - 1068
Database
ISI
SICI code
0040-5779(1996)108:2<1046:UR.COD>2.0.ZU;2-K
Abstract
On the diagram level, we describe the mechanism of compensations in Wa rd identities for non-Abelian gauge theories. The description of this mechanism allows one to analyze the non-Lagrangian regularizations. We propose a regularization (different from dimensional regularization a nd the higher covariant derivative method) from the class of ''univers al'' regularizations. Our regularization keeps the gauge invariance of the Yang-Mills theory in the one-loop approximation, and in two-loop approximation at least for the polarization operator.