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 fourdimensional YangMills theory and in the standard twodimensional Sigmamodel.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 December 2022
 DOI:
 10.1088/17518121/aca8dc
 arXiv:
 arXiv:2209.01783
 Bibcode:
 2022JPhA...55W5401I
 Keywords:

 cutoff regularization;
 Green's function;
 spectral representation;
 homogenization;
 covariance;
 infrared asymptotics;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 LaTeX, 17 pages