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arxiv hep-th/9911211 v2 pith:DVSGIXBQ submitted 1999-11-25 hep-th

Split dimensional regularization for the Coulomb gauge at two loops

classification hep-th
keywords sigmadimensionalregularizationsplitcoulombintegralstwo-loopgauge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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