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Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action

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arxiv 2004.05999 v2 pith:LXBRBQ6X submitted 2020-04-13 hep-th

classification hep-th
keywords two-loopactioncutoffeffectivefunctionpartrenormalizationyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second $\beta$-function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained.

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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. Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin

    hep-th 2025-06 reject novelty 5.0 of 10

    This paper presents a master formula and the off-diagonal heat kernel expansion (eq. 4.10) that generalize the authors' scalar curved-spacetime multiloop formalism to nonzero-spin fields in general gauge and gravitati...

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