On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations

Details On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations

1995-01-27

arxiv.org/abs/hep-th/9501124v2

Phys.Rev.D53:2020-2036,1996

Physics

High Energy Physics

High Energy Physics - Theory

28 pages in plain TeX, no figures. revised and expanded

Scientific paper

10.1103/PhysRevD.53.2020

Operator cutoff regularization based on the original Schwinger's proper-time formalism is examined. By constructing a regulating smearing function for the proper-time integration, we show how this regularization scheme simulates the usual momentum cutoff prescription yet preserves gauge symmetry even in the presence of the cutoff scales. Similarity between the operator cutoff regularization and the method of higher (covariant) derivatives is also observed. The invariant nature of the operator cutoff regularization makes it a promising tool for exploring the renormalization group flow of gauge theories in the spirit of Wilson-Kadanoff blocking transformation.

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