Some results of regularization by higher covariant derivatives used for investigation of the structure of quantum corrections in N = 1 supersymmetric theories are summarized in the present work. In particular, it is demonstrated that all integrals determining the Hell-Mann-Low functions in supersymmetric theories are integrals of total derivatives. As a consequence, in the N = 1 supersymmetric theories there exists an identity for the Green's functions which follows from none of the symmetry theories known thus far. The problem of obtaining the exact β-function by the methods of perturbation theory is discussed.

By calculating some four-loop diagrams in the N =1 supersymmetric electrodynamics regularized by higher derivatives, we verify a method for summing Feynman diagrams based on using Schwinger-Dyson equations and Ward identities. In particular, for the diagrams considered, we prove the correctness of an additional identity for Green's functions not reduced to the gauge Ward identity.

No abstract

In this paper we investigate the corrections of vacuum nonlinear electrodynamics on rapidly rotating pulsar radiation and spin-down in the perturbative QED approach (post-Maxwellian approximation). An analytical expression for the pulsar's radiation intensity has been obtained and analyzed.

С помощью вычисления ряда четырехпетлевых диаграмм в N = 1 суперсимметричной электродинамике, регуляризованной высшими производными, проверяется метод суммирования диаграмм Фейнмана, основанный на использовании уравнений Швингера-Дайсона и тождеств Уорда. В частности, для рассматриваемых диаграмм доказана справедливость дополнительного тождества для функций Грина, которое не сводится к калибровочному тождеству Уорда.