The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation
At the three-loop level we analyze, how the NSVZ relation appears for N=1 SQED regularized by the dimensional reduction. This is done by the method analogous to the one which was earlier used for the theories regularized by higher derivatives. Within the dimensional technique, the loop integrals can...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-01-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316307043 |
| _version_ | 1828491428426153984 |
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| author | S.S. Aleshin I.O. Goriachuk A.L. Kataev K.V. Stepanyantz |
| author_facet | S.S. Aleshin I.O. Goriachuk A.L. Kataev K.V. Stepanyantz |
| author_sort | S.S. Aleshin |
| collection | DOAJ |
| description | At the three-loop level we analyze, how the NSVZ relation appears for N=1 SQED regularized by the dimensional reduction. This is done by the method analogous to the one which was earlier used for the theories regularized by higher derivatives. Within the dimensional technique, the loop integrals cannot be written as integrals of double total derivatives. However, similar structures can be written in the considered approximation and are taken as a starting point. Then we demonstrate that, unlike the higher derivative regularization, the NSVZ relation is not valid for the renormalization group functions defined in terms of the bare coupling constant. However, for the renormalization group functions defined in terms of the renormalized coupling constant, it is possible to impose boundary conditions to the renormalization constants giving the NSVZ scheme in the three-loop order. They are similar to the all-loop ones defining the NSVZ scheme obtained with the higher derivative regularization, but are more complicated. The NSVZ schemes constructed with the dimensional reduction and with the higher derivative regularization are related by a finite renormalization in the considered approximation. |
| first_indexed | 2024-12-11T11:02:14Z |
| format | Article |
| id | doaj.art-1fa55cd13759493186a262110f32f621 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-11T11:02:14Z |
| publishDate | 2017-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-1fa55cd13759493186a262110f32f6212022-12-22T01:09:50ZengElsevierPhysics Letters B0370-26931873-24452017-01-01764C22222710.1016/j.physletb.2016.11.041The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximationS.S. Aleshin0I.O. Goriachuk1A.L. Kataev2K.V. Stepanyantz3Moscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, RussiaMoscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, RussiaInstitute for Nuclear Research of the Russian Academy of Science, 117312, Moscow, RussiaMoscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, RussiaAt the three-loop level we analyze, how the NSVZ relation appears for N=1 SQED regularized by the dimensional reduction. This is done by the method analogous to the one which was earlier used for the theories regularized by higher derivatives. Within the dimensional technique, the loop integrals cannot be written as integrals of double total derivatives. However, similar structures can be written in the considered approximation and are taken as a starting point. Then we demonstrate that, unlike the higher derivative regularization, the NSVZ relation is not valid for the renormalization group functions defined in terms of the bare coupling constant. However, for the renormalization group functions defined in terms of the renormalized coupling constant, it is possible to impose boundary conditions to the renormalization constants giving the NSVZ scheme in the three-loop order. They are similar to the all-loop ones defining the NSVZ scheme obtained with the higher derivative regularization, but are more complicated. The NSVZ schemes constructed with the dimensional reduction and with the higher derivative regularization are related by a finite renormalization in the considered approximation.http://www.sciencedirect.com/science/article/pii/S0370269316307043SupersymmetryNSVZ beta-functionDimensional reduction |
| spellingShingle | S.S. Aleshin I.O. Goriachuk A.L. Kataev K.V. Stepanyantz The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation Physics Letters B Supersymmetry NSVZ beta-function Dimensional reduction |
| title | The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation |
| title_full | The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation |
| title_fullStr | The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation |
| title_full_unstemmed | The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation |
| title_short | The NSVZ scheme for N=1 SQED with Nf flavors, regularized by the dimensional reduction, in the three-loop approximation |
| title_sort | nsvz scheme for n 1 sqed with nf flavors regularized by the dimensional reduction in the three loop approximation |
| topic | Supersymmetry NSVZ beta-function Dimensional reduction |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316307043 |
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