Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory
Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, N $$ \mathcal{N} $$ = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superf...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)169 |
| _version_ | 1818926827971805184 |
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| author | I. L. Buchbinder E. A. Ivanov B. S. Merzlikin K. V. Stepanyantz |
| author_facet | I. L. Buchbinder E. A. Ivanov B. S. Merzlikin K. V. Stepanyantz |
| author_sort | I. L. Buchbinder |
| collection | DOAJ |
| description | Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, N $$ \mathcal{N} $$ = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and N $$ \mathcal{N} $$ = (1, 0) supersymmetric way. We exploit the regularization by dimensional reduction, in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations. |
| first_indexed | 2024-12-20T03:03:19Z |
| format | Article |
| id | doaj.art-e5d910ffa4a24d2ba6faf665a048fd55 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T03:03:19Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e5d910ffa4a24d2ba6faf665a048fd552022-12-21T19:55:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020811910.1007/JHEP08(2020)169Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theoryI. L. Buchbinder0E. A. Ivanov1B. S. Merzlikin2K. V. Stepanyantz3Department of Theoretical Physics, Tomsk State Pedagogical UniversityBogoliubov Laboratory of Theoretical Physics, JINRDepartment of Theoretical Physics, Tomsk State Pedagogical UniversityBogoliubov Laboratory of Theoretical Physics, JINRAbstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, N $$ \mathcal{N} $$ = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and N $$ \mathcal{N} $$ = (1, 0) supersymmetric way. We exploit the regularization by dimensional reduction, in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.http://link.springer.com/article/10.1007/JHEP08(2020)169Field Theories in Higher DimensionsRenormalization Regularization and RenormalonsSuperspacesSupersymmetric Gauge Theory |
| spellingShingle | I. L. Buchbinder E. A. Ivanov B. S. Merzlikin K. V. Stepanyantz Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory Journal of High Energy Physics Field Theories in Higher Dimensions Renormalization Regularization and Renormalons Superspaces Supersymmetric Gauge Theory |
| title | Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory |
| title_full | Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory |
| title_fullStr | Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory |
| title_full_unstemmed | Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory |
| title_short | Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory |
| title_sort | supergraph calculation of one loop divergences in higher derivative 6d sym theory |
| topic | Field Theories in Higher Dimensions Renormalization Regularization and Renormalons Superspaces Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)169 |
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