skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Generalization and improvement of the Dyson-Salam renormalization scheme and equivalence with other schemes

Journal Article · · Phys. Rev., D; (United States)

The Dyson-Salam (DS) renormalization scheme, as originally formulated in momentum space, is generalized and improved to a consistent renormalization scheme which is applicable to renormalizable as well as nonrenormalizable theories and takes into account all divergent subdiagrams of a given graph. The equivalence of our generalized DS scheme with the other renormalization schemes of Bogoliubov, Parasiuk, and Hepp (BPH) and of Zimmermann (Z) is demonstrated. The main point is that in the generalized and improved DS scheme, as based on the original method of Salam, subtractions are performed over specific disconnected subdiagrams, which are not necessarily redundant, that are precisely reduced to the subtractions over connected parts of the BPHZ scheme. (AIP)

Research Organization:
Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Province de Quebec H3C 3J4, Canada
OSTI ID:
7344700
Journal Information:
Phys. Rev., D; (United States), Vol. 14:4
Country of Publication:
United States
Language:
English

Similar Records

Convergence of the generalized and improved Dyson-Salam renormalization scheme. [Power-counting theorem]
Journal Article · Sat Jan 15 00:00:00 EST 1977 · Phys. Rev., D; (United States) · OSTI ID:7344700

Renormalization of a (2+1)-dimensional supersymmetric nonlinear. sigma. model in 1/ N expansion
Journal Article · Wed May 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA) · OSTI ID:7344700

Renormalization of the abelian Higgs--Kibble model
Journal Article · Thu May 01 00:00:00 EDT 1975 · Commun. Math. Phys., v. 42, no. 2, pp. 127-162 · OSTI ID:7344700