Exact renormalization group equation in presence of rescaling anomaly

Citation
S. Arnone et al., Exact renormalization group equation in presence of rescaling anomaly, J HIGH EN P, (2), 1999, pp. NIL_461-NIL_478
Citations number
35
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Issue
2
Year of publication
1999
Pages
NIL_461 - NIL_478
Database
ISI
SICI code
1029-8479(19990528):2<NIL_461:ERGEIP>2.0.ZU;2-L
Abstract
Wilson's approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. The usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anom aly under the rescaling of superfields. We carry out the explicit computati on for N = 1 SUSY Yang-Mills theory with the simpler, gauge invariant regul arization method, recently proposed by Arkani-Hamed and Murayama. The resul t is that the Wilsonian action S-M consists of two terms, i.e. the non anom alous term, which obeys Polchinski's flow equation and Fujikawa-Konishi det erminant contribution. This latter is responsible for Shifman-Vainshtein re lation giving the exact beta-function.