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Three-loop contribution of the Faddeev-Popov ghosts to the beta-function of N=1 supersymmetric gauge theories and the NSVZ relationстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 11 ноября 2019 г.
- Авторы: Kuzmichev M.D., Meshcheriakov N.P., Novgorodtsev S.V., Shirokov I.E., Stepanyantz K.V.
- Журнал: European Physical Journal C
- Том: 79
- Год издания: 2019
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 809
- DOI: 10.1140/epjc/s10052-019-7323-1
- Аннотация: We find the three-loop contribution to the $\beta$-function of ${\cal N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives produced by the supergraphs containing loops of the Faddeev--Popov ghosts. This is done using a recently proposed algorithm, which essentially simplifies such multiloop calculations. The result is presented in the form of an integral of double total derivatives in the momentum space. The considered contribution to the $\beta$-function is compared with the two-loop anomalous dimension of the Faddeev--Popov ghosts. This allows verifying the validity of the NSVZ equation written as a relation between the $\beta$-function and the anomalous dimensions of the quantum superfields. It is demonstrated that in the considered approximation the NSVZ equation is satisfied for the renormalization group functions defined in terms of the bare couplings. The necessity of the nonlinear renormalization for the quantum gauge superfield is also confirmed.
- Добавил в систему: Степаньянц Константин Викторович