Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives
Abstract The two-loop anomalous dimension of the chiral matter superfields is calculated for a general N $$ \mathcal{N} $$ = 1 supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of the bare couplings, and the one defined i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2020)108 |
| _version_ | 1818878818010529792 |
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| author | A. E. Kazantsev K. V. Stepanyantz |
| author_facet | A. E. Kazantsev K. V. Stepanyantz |
| author_sort | A. E. Kazantsev |
| collection | DOAJ |
| description | Abstract The two-loop anomalous dimension of the chiral matter superfields is calculated for a general N $$ \mathcal{N} $$ = 1 supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of the bare couplings, and the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription. For the one-loop finite theories we find a simple relation between the higher derivative regulators under which the anomalous dimension defined in terms of the bare couplings vanishes in the considered approximation. In this case the one-loop finite theory is also two-loop finite in the HD+MSL scheme. Using the assumption that with the higher covariant derivative regularization the NSVZ equation is satisfied for RGFs defined in terms of the bare couplings, we construct the expression for the three-loop β-function. Again, the result is written both for the β-function defined in terms of the bare couplings and for the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription. |
| first_indexed | 2024-12-19T14:20:13Z |
| format | Article |
| id | doaj.art-b75de22e7e1c42edab3894a96dfe3d09 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T14:20:13Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b75de22e7e1c42edab3894a96dfe3d092022-12-21T20:17:49ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020613210.1007/JHEP06(2020)108Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivativesA. E. Kazantsev0K. V. Stepanyantz1Moscow State University, Faculty of Physics, Department of Quantum Theory and High Energy PhysicsMoscow State University, Faculty of Physics, Department of Theoretical PhysicsAbstract The two-loop anomalous dimension of the chiral matter superfields is calculated for a general N $$ \mathcal{N} $$ = 1 supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of the bare couplings, and the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription. For the one-loop finite theories we find a simple relation between the higher derivative regulators under which the anomalous dimension defined in terms of the bare couplings vanishes in the considered approximation. In this case the one-loop finite theory is also two-loop finite in the HD+MSL scheme. Using the assumption that with the higher covariant derivative regularization the NSVZ equation is satisfied for RGFs defined in terms of the bare couplings, we construct the expression for the three-loop β-function. Again, the result is written both for the β-function defined in terms of the bare couplings and for the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription.http://link.springer.com/article/10.1007/JHEP06(2020)108Renormalization GroupRenormalization Regularization and RenormalonsSupersymmetric Gauge Theory |
| spellingShingle | A. E. Kazantsev K. V. Stepanyantz Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives Journal of High Energy Physics Renormalization Group Renormalization Regularization and Renormalons Supersymmetric Gauge Theory |
| title | Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives |
| title_full | Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives |
| title_fullStr | Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives |
| title_full_unstemmed | Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives |
| title_short | Two-loop renormalization of the matter superfields and finiteness of N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories regularized by higher derivatives |
| title_sort | two loop renormalization of the matter superfields and finiteness of n mathcal n 1 supersymmetric gauge theories regularized by higher derivatives |
| topic | Renormalization Group Renormalization Regularization and Renormalons Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP06(2020)108 |
| work_keys_str_mv | AT aekazantsev twolooprenormalizationofthemattersuperfieldsandfinitenessofnmathcaln1supersymmetricgaugetheoriesregularizedbyhigherderivatives AT kvstepanyantz twolooprenormalizationofthemattersuperfieldsandfinitenessofnmathcaln1supersymmetricgaugetheoriesregularizedbyhigherderivatives |