ABSTRACT
In this chapter, the authors present the basic ideas of renormalization. They discuss methods which are general, namely which are valid for theories in a general curved space–time. The structure of renormalization of the theory in curved space-time can be found in the same way as was done for the scalar theory. Renormalization is the special procedure for the reconstructuion of the theory under consideration so that the divergences are absent and the vertex functions are finite. Renormalization theory is discussed in many books on quantum field theory. The authors investigate some general problems using only regularized action. They utilize the minimal subtraction scheme where contributions to the counterterms are given only by pole parts. The authors consider the renormalization in curved space-time. They also utilize mostly dimensional regularization for which the dimensionality of space–time n is the parameter of regularization.
