Explicit Cutoff Regularization in Coordinate Representation

Abstract

In this paper, we study a special type of cutoff regularization in the coordinate representation. We show how this approach unites such concepts and properties as an explicit cut, a spectral representation, a homogenization, and a covariance. Besides that, we present new formulae to work with the regularization and give additional calculations of the infrared asymptotics for some regularized Green's functions, appearing in the pure four-dimensional Yang-Mills theory and in the standard two-dimensional Sigma-model.

LaTeX, 17 pages

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Cited by in corpus (8)

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• Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions
• Ordered Exponential and Its Features in Yang-Mills Effective Action
• Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization
• Linearized renormalization
• Summation of power singularities