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.
Summation of power singularities
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abstract
In this paper, we investigate an example of summation of non-logarithmic singularities of a specific type in a two-dimensional non-linear sigma model. As a result of the study, we obtained an explicit formula, which, upon formal expansion in terms of the coupling constant, reproduces a particular part of the quantum action. Additionally, the paper introduces a new auxiliary function and discusses some of its properties.
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hep-th 1years
2026 1verdicts
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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.