Scheming in Dimensional Regularization

Details Scheming in Dimensional Regularization Scheming in Dimensional Regularization

1998-10-07

arxiv.org/abs/hep-th/9810049v2

J.Phys.A32:3397-3407,1999

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, additional text in opening section, version to be published in J. Phys. A

Scientific paper

10.1088/0305-4470/32/18/313

We 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.

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