Supersymmetric dimensional regularization

Being inconsistent in superfield language the regularization by dimensional reduction is reformulated unambiguously in terms of the component fields. It is found to violate the supersymmetric Ward identities in higher orders. For several models the corresponding domains of invariance are determined and shown to embrace the range of the calculations done so far (for details see Avdeev L. V., Chochia G. A., Vladimirov A. A.: Phys. Letters (in press); preprint JINR Dubna, E2-81-370, 1981).Abstract of the paper presented at the International Symposium Selected Topics in Quantum Field Theory and Mathematical Physics, Bechyn, Czechoslovakia, June 14–21, 1981.