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Статья

Aleshin, S.S.
Quantum Properties of Gauge Theories with Extended Supersymmetry Formulated in N=1 Superspace / S.S.Aleshin, K.V.Stepanyantz // Physical Review D [Electronic resource]. – 2023. – Vol.107, No.10. – P.105006. – URL: https://doi.org/10.1103/PhysRevD.107.105006. – Bibliogr.:95.

We analyze quantum properties of N=2 and N=4 supersymmetric gauge theories formulated in terms of N=1 superfields and investigate the conditions imposed on a renormalization prescription under which the nonrenormalization theorems are valid. For this purpose in these models we calculate the two-loop contributions to the anomalous dimensions of all chiral matter superfields and the three-loop contributions to the β-functions for an arbitrary N=1 supersymmetric subtraction scheme supplementing the higher covariant derivative regularization. We demonstrate that, in general, the results do not vanish due to the scheme dependence, which becomes essential in the considered approximations. However, the two-loop anomalous dimensions vanish if a subtraction scheme is compatible with the structure of quantum corrections and does not break the relation between the Yukawa and gauge couplings which follows from N=2 supersymmetry. Nevertheless, even under these conditions the three-loop contribution to the β-function does not in general vanishes for N=2 supersymmetric theories. To obtain the purely one-loop β-function, one should also chose an Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) renormalization prescription. The similar statements for the higher loop contributions are proved in all orders.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 324.1е - Суперсимметричные теории. Супергравитация. Суперструны$
Бюллетени = 44/023