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Explicit Cutoff Regularization in Coordinate Representation

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arxiv 2209.01783 v1 pith:LFBS7TAH submitted 2022-09-05 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords regularizationrepresentationcoordinatecutoffexplicitadditionalappearingapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Three-loop singularity structure for a non-linear sigma model

    hep-th 2025-07 conditional novelty 6.0 of 10

    The three-loop divergent structure of the two-dimensional non-linear sigma model is computed in a coordinate-space cutoff scheme, including the new countervertices and the squared-logarithm part of the renormalization...

  2. Linearized renormalization

    hep-th 2025-05 conditional novelty 6.0 of 10

    For super-renormalizable scalar theories, the first-order change of the renormalized effective action under parameter variations is written with finitely many graphs built from full propagators and vertices, with no r...

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