1998/10/31 by Daniel R. Phillips, D. R. Phillips, Silas R. Beane +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1088/0305-4470/32/18/313
published as J.Phys.A32:3397-3407,1999 · 12 pages, additional text in opening section, version to be published in J. Phys. A
openalex publication_date 1999/01/01 · arxiv created 1999/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 non-minimal 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 cut-off regularization. We therefore recover cut-off regularization from dimensional regularization with a non-minimal subtraction scheme. We then discuss the power counting for non-relativistic effective field theories which arises in these alternative schemes.