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Formula for two-loop divergent part of 4-D Yang-Mills effective action

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arxiv 2203.07131 v1 pith:KZQ24YHY submitted 2022-03-14 hep-th

classification hep-th
keywords actioncontributioneffectiveformularegularizationtwo-loopyang-millsapplied
verification ladder T0 review T1 audit T2 compute T3 formal
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In the paper, we study the two-loop contribution to the effective action of the four-dimensional quantum Yang-Mills theory. We derive a new formula for the contribution in terms of three functions, formed from the Green's function expansion near the diagonal. This result can be applied to different types of regularization. Therefore, we test it by using the dimensional regularization and cutoff ones and show the consistence with the results, obtained in other works.

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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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