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 approach unites such concepts and properties as an explicit cut, spectral representation, homogenization, covariance. Besides that, present new formulae to work with give additional calculations infrared asymptotics for some regularized Green’s functions appearing pure four-dimensional Yang–Mills theory standard two-dimensional Sigma-model.