On two-loop divergences of effective action in 6D, N = (1, 1) SYM theory
We study the off-shell structure of the two-loop effective action in 6D, N = (1, 1) supersymmetric gauge theories formulated in N = (1, 0) harmonic superspace. The off-shell effective action involving all fields of 6D, N = (1, 1) supermultiplet is constructed by the harmonic superfield background fi...
| Published in: | Journal of high energy physics № 5. P. 89 (1-27) |
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| Other Authors: | , , , |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001133666 Перейти в каталог НБ ТГУ |
| Summary: | We study the off-shell structure of the two-loop effective action in 6D, N = (1, 1) supersymmetric gauge theories formulated in N = (1, 0) harmonic superspace. The off-shell effective action involving all fields of 6D, N = (1, 1) supermultiplet is constructed by the harmonic superfield background field method, which ensures both manifest gauge covariance and manifest N = (1, 0) supersymmetry. We analyze the off-shell divergences dependent on both gauge and hypermultiplet superfields and argue that the gauge invariance of the divergences is consistent with the non-locality in harmonics. The two-loop contributions to the effective action are given by harmonic supergraphs with the background gauge and hypermultiplet superfields. The procedure is developed to operate with the harmonic-dependent superpropagators in the two-loop supergraphs within the superfield dimensional regularization. We explicitly calculate the gauge and the hypermultiplet-mixed divergences as the coefficients of 1ε2 and demonstrate that the corresponding expressions are non-local in harmonics. |
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| Bibliography: | Библиогр.: 57 назв. |
| ISSN: | 1126-6708 |