Operator Cutoff Regularization and Renormalization Group in Yang-Mills Theory

Details Operator Cutoff Regularization and Renormalization Group in Yang-Mills Theory Operator Cutoff Regularization and Renormalization Group in Yang-Mills Theory

1995-11-07

arxiv.org/abs/hep-th/9511046v1

Phys.Rev. D56 (1997) 5008-5033

Physics

High Energy Physics

High Energy Physics - Theory

36 pages in plain TeX, no figures

Scientific paper

10.1103/PhysRevD.56.5008

We derive a manifestly gauge invariant low energy blocked action for Yang-Mills theory using operator cutoff regularization, a prescription which renders the theory finite with a regulating smearing function constructed for the proper-time integration. By embedding the momentum cutoff scales in the smearing function, operator cutoff formalism allows for a direct application of Wilson-Kadanoff renormalization group to Yang-Mills theory in a completely gauge symmetry preserving manner. In particular, we obtain a renormalization group flow equation which takes into consideration the contributions of higher dimensional operators and provides a systematic way of exploring the influence of these operators as the strong coupling, infrared limit is approached.

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