SPLIT DIMENSIONAL REGULARIZATION FOR THE COULOMB GAUGE

Citation
G. Leibbrandt et J. Williams, SPLIT DIMENSIONAL REGULARIZATION FOR THE COULOMB GAUGE, Nuclear physics. B, 475(1-2), 1996, pp. 469-483
Citations number
76
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
475
Issue
1-2
Year of publication
1996
Pages
469 - 483
Database
ISI
SICI code
0550-3213(1996)475:1-2<469:SDRFTC>2.0.ZU;2-E
Abstract
A new procedure for regularizing Feynman integrals in the non-covarian t Coulomb gauge del . A(a) = 0 is proposed for Yang-Mills theory, The procedure is based on a variant of dimensional regularization, called split dimensional regularization, which leads to internally consistent , ambiguity-free integrals. It is demonstrated that split dimensional regularization yields a one-loop Yang-Mills self-energy, Pi(mu nu)(ab) that is non-transverse, but local. Despite the non-covariant nature o f the Coulomb gauge, ghosts are necessary in order to satisfy the appr opriate Ward/BRS identity, The computed Coulomb-gauge Feynman integral s are applicable to both Abelian and non-Abelian gauge models.