|
ИСТИНА |
Войти в систему Регистрация |
ИПМех РАН |
||
Exact β-functions for N=1 supersymmetric theories finite in the lowest loopsстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 15 июля 2021 г.
- Автор: Stepanyantz K.V.
- Журнал: European Physical Journal C
- Том: 81
- Номер: 7
- Год издания: 2021
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Номер статьи: 571
- DOI: 10.1140/epjc/s10052-021-09363-7
- Аннотация: We consider a one-loop finite N=1 supersymmetric theory in such a renormalization scheme that the first L contributions to the gauge β-function and the first (L−1) contributions to the anomalous dimension of the matter superfields and to the Yukawa β-function vanish. It is demonstrated that in this case the NSVZ equation and the exact equation for the Yukawa β-function in the first nontrivial order are valid for an arbitrary renormalization prescription respecting the above assumption. This implies that under this assumption the (L+1)-loop contribution to the gauge β-function and the L-loop contribution to the Yukawa β-function are always expressed in terms of the L-loop contribution to the anomalous dimension of the matter superfields. This statement generalizes the result of Grisaru, Milewski, and Zanon that for a theory finite in L loops the (L+1)-loop contribution to the β-function also vanishes. In particular, it gives a simple explanation why their result is valid although the NSVZ equation does not hold in an arbitrary subtraction scheme.
- Добавил в систему: Степаньянц Константин Викторович