Scheming in Dimensional Regularization

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dc.creatorPhillips, D. R.
dc.creatorBeane, S. R.
dc.creatorBirse, M. C.
dc.date1998-10-07
dc.date1999-02-24
dc.date.accessioned2026-07-07T10:53:58Z
dc.date.available2026-07-07T10:53:58Z
dc.descriptionWe consider the most general loop integral that appears in non-relativistic effective field theories with no light particles. The divergences of this integral are in correspondence with simple poles in the space of complex space-time dimensions. Integrals related to the original integral by subtraction of one or more poles in dimensions other than D=4 lead to nonminimal subtraction schemes. Subtraction of all poles in correspondence with ultraviolet divergences of the loop integral leads naturally to a regularization scheme which is precisely equivalent to cutoff regularization. We therefore recover cutoff regularization from dimensional regularization with a nonminimal subtraction scheme. We then discuss the power-counting for non-relativistic effective field theories which arises in these alternative schemes.
dc.description12 pages, additional text in opening section, version to be published in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/9810049
dc.identifierhttp://arxiv.org/abs/hep-th/9810049
dc.identifierJ.Phys.A32:3397-3407,1999
dc.identifierdoi:10.1088/0305-4470/32/18/313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185665
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleScheming in Dimensional Regularization
dc.typetext

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