Scheming in dimensional regularization

Citation
Dr. Phillips et al., Scheming in dimensional regularization, J PHYS A, 32(18), 1999, pp. 3397-3407
Citations number
54
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
18
Year of publication
1999
Pages
3397 - 3407
Database
ISI
SICI code
0305-4470(19990507)32:18<3397:SIDR>2.0.ZU;2-E
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 sp ace-time dimensions. Integrals related to the original integral by subtract ion of one or more poles in dimensions other than D = 4 lead to non-minimal subtraction schemes. Subtraction of all poles in correspondence with ultra violet divergences of the loop integral leads naturally to a regularization scheme which is precisely equivalent to cut-off regularization. We therefo re recover cut-off regularization from dimensional regularization with a no n-minimal subtraction scheme. We then discuss the power counting for non-re lativistic effective field theories which arises in these alternative schem es.