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arxiv: hep-th/9601046 · v2 · submitted 1996-01-10 · ✦ hep-th

Split Dimensional Regularization for the Coulomb Gauge

George Leibbrandt , Jimmy Williams (U. of Guelph , Canada) This is my paper
classification ✦ hep-th
keywords dimensionalgaugeregularizationcoulombintegralssplitfeynmannoncovariant
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A new procedure for regularizing Feynman integrals in the noncovariant Coulomb gauge 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 that is nontransverse, but local. Despite the noncovariant nature of the Coulomb gauge, ghosts are necessary in order to satisfy the appropriate Ward/BRS identity. The computed Coulomb-gauge Feynman integrals are applicable to both Abelian and non-Abelian gauge models. PACS: 11.15, 12.38.C

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