Mixed Type Regularizations and Nonlogarithmic Singularities

Kharuk, N. V.

doi:10.1007/s10958-022-06003-7

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Dimensional Regularization1

Introduction1

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2022

2024

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Cited by 4 publications

(2 citation statements)

References 13 publications

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“…In the case on a cutoff regularization some properties are violated. Also the mixed type regularization, created on the basis of the dimensional one and suggested in [60], deforms some relations.…”

Section: Dimensional Regularizationmentioning

confidence: 99%

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

Иванов

Kharuk

2022

Eur. Phys. J. C

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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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Section: Dimensional Regularizationmentioning

confidence: 99%

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

Иванов

Kharuk

2022

Eur. Phys. J. C

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“…Description of some other cutoff regularizations can be found in [9][10][11][12][13][14], but they do not include all the properties suggested here.…”

Section: Introductionmentioning

confidence: 99%

Explicit Cutoff Regularization in Coordinate Representation

Иванов¹

2022

J. Phys. A: Math. Theor.

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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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Three-Loop Divergences in Effective Action of 4-Dimensional Yang–Mills Theory with Cutoff Regularization: $${\Gamma }_{4}^{2}$$-Contribution

Ivanov,

Kharuk

2024

J Math Sci

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Mixed Type Regularizations and Nonlogarithmic Singularities

Cited by 4 publications

References 13 publications

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

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

Explicit Cutoff Regularization in Coordinate Representation

Three-Loop Divergences in Effective Action of 4-Dimensional Yang–Mills Theory with Cutoff Regularization: $${\Gamma }_{4}^{2}$$-Contribution

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