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On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations

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arxiv hep-th/9501124 v2 pith:DX6ID2BL submitted 1995-01-27 hep-th

On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations

classification hep-th
keywords cutoffoperatorregularizationgaugemomentumproper-timeblockingconnection
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 6 Pith papers

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