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Relation between two-point Green functions of N=1 SQED with N_f flavors, regularized by higher derivatives, in the three-loop approximationстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 9 декабря 2016 г.
- Авторы: Kazantsev A.E., Stepanyantz K.V.
- Журнал: Journal of Experimental and Theoretical Physics
- Том: 120
- Номер: 4
- Год издания: 2015
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 618
- Последняя страница: 631
- DOI: 10.1134/S1063776115040068
- Аннотация: We verify the identity which relates the two-point Green functions of ${\cal N}=1$ SQED with $N_f$ flavors, regularized by higher derivatives, by explicit calculations in the three-loop approximation. This identity explains why in the limit of the vanishing external momentum the two-point Green function of the gauge superfield is given by integrals of double total derivatives in the momentum space. It also allows to derive the NSVZ $\beta$-function exactly in all loops if the renormalization group functions are defined in terms of the bare coupling constant. In order to verify the considered identity we use it for constructing integrals giving the three-loop $\beta$-function starting from the two-point Green functions of the matter superfields in the two-loop approximation. Then we demonstrate that the results for these integrals coincide with the sums of the corresponding three-loop supergraphs.
- Добавил в систему: Степаньянц Константин Викторович