Some Properties of Dimensional Regularization and Their Application

Dimensional regularization is the indispensable mathematical tool for multiloop calculations in Quantum Field Theory. It has some drastic properties such as the nullification of the dimensionally regularized integrals not depending on external parameters, for example the notification of the massless vacuum diagrams within Quantum Field Theory. In the present paper we discuss the properties of dimensional regularization and their application. We apply these properties to the derivation of the product of the Dimensional delta functions which can be helpful in the analysis of divergencies of the generalized Hamiltonian within Quantum Field Theory.