Split dimensional regularization for the Coulomb gauge at two loops

Details Split dimensional regularization for the Coulomb gauge at two loops Split dimensional regularization for the Coulomb gauge at two loops

1999-11-25

arxiv.org/abs/hep-th/9911211v2

Nucl.Phys. B575 (2000) 359-382

Physics

High Energy Physics

High Energy Physics - Theory

32 pages Latex; figures replaced, text unchanged

Scientific paper

10.1016/S0550-3213(00)00078-X

We evaluate the coefficients of the leading poles of the complete two-loop quark self-energy \Sigma(p) in the Coulomb gauge. Working in the framework of split dimensional regularization, with complex regulating parameters \sigma and n/2-\sigma for the energy and space components of the loop momentum, respectively, we find that split dimensional regularization leads to well-defined two-loop integrals, and that the overall coefficient of the leading pole term for \Sigma(p) is strictly local. Extensive tables showing the pole parts of one- and two-loop Coulomb integrals are given. We also comment on some general implications of split dimensional regularization, discussing in particular the limit \sigma \to 1/2 and the subleading terms in the epsilon-expansion of noncovariant integrals.

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