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arXiv · 2209.01783

Explicit Cutoff Regularization in Coordinate Representation

A. V. Ivanov
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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.

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A. V. Ivanov. 2022-09-05. Explicit Cutoff Regularization in Coordinate Representation. https://doi.org/10.1088/1751-8121%2Faca8dc

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