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arXiv · hep-th/9810049

Scheming in Dimensional Regularization

D. R. Phillips·S. R. Beane·M. C. Birse
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Abstract

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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D. R. Phillips, S. R. Beane, M. C. Birse. 1999-02-24. Scheming in Dimensional Regularization. https://doi.org/10.1088/0305-4470%2F32%2F18%2F313

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