Dm. Gitman et al., APPLICATION OF PATH INTEGRATION TO OPERATOR CALCULUS, Journal of physics. A, mathematical and general (Print), 31(38), 1998, pp. 7791-7799
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.