Exact renormalization group equation in presence of rescaling anomaly

Details Exact renormalization group equation in presence of rescaling anomaly Exact renormalization group equation in presence of rescaling anomaly

1998-12-02

arxiv.org/abs/hep-th/9812022v2

JHEP 9902:022,1999

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, no figures; an appendix and reference added; typos corrected

Scientific paper

10.1088/1126-6708/1999/02/022

Wilson's approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. Usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anomaly under the rescaling of superfields. We carry out the explicit computation for N=1 SUSY Yang-Mills theory with the simpler, gauge invariant regularization method, recently proposed by Arkani-Hamed and Murayama. The result is that the Wilsonian action S_M consists of two terms, i.e. the non anomalous term, which obeys Polchinski's flow equation and Fujikawa-Konishi determinant contribution. This latter is responsible for Shifman-Vainshtein relation of exact beta-function.

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