Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
On a criterion for a cutoff regularization in the coordinate representation
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The paper discusses an applicability criterion for a cutoff regularization in the coordinate representation in the Euclidean space with a dimension larger than two. It is shown that the set of functions satisfying the criterion is not empty. As an example, an explicit function is presented. It is proved by explicit construction that there are functions satisfying the criterion in a stronger formulation.
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hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Compares two chiral decompositions in Heisenberg sigma model for consistency with background field method and computes one- and two-loop renormalization effects.
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Renormalization aspects of the Yang-Mills theory with a cutoff
Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
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On background fields and a cutoff in sigma models
Compares two chiral decompositions in Heisenberg sigma model for consistency with background field method and computes one- and two-loop renormalization effects.