APPLICATION OF PATH INTEGRATION TO OPERATOR CALCULUS

We consider a disentanglement of the operator functions of the form ga mma(alpha) ... gamma(beta) exp{omega(mu nu)gamma(mu)gamma(nu)}, where gamma(mu) are generating elements of a Clifford algebra (gamma matrice s, for example). To this end we formulate a path integral reduction pr ocedure which allows one to obtain the functions under consideration i n Sym-form. Then, by means of path integration, we obtain explicit dec ompositions of the operator functions in Sym-products of gamma matrice s (in the linearly independent gamma-matrix structures) valid in arbit rary dimensions. Several particular examples are analysed in detail.