Scheming in Dimensional Regularization
摘要
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.
关键词
引用
@article{arxiv.hep-th/9810049,
title = {Scheming in Dimensional Regularization},
author = {D. R. Phillips and S. R. Beane and M. C. Birse},
journal= {arXiv preprint arXiv:hep-th/9810049},
year = {2008}
}
备注
12 pages, additional text in opening section, version to be published in J. Phys. A