Structure of conformal partial expansions in two-dimensional models

The main results concerning two-dimensional exactly solved models of the quantum field theory are known can be obtained from operator expansions. A new technique is suggested for solution of conformal-invariant field theory models that allows to reproduce the results obtained for two-dimensional models and to generalize the problem to D-dimensional space. The technique is based only on properties of operator expansion and a requirement of usual conformal symmetry. Operator expansions can be obtained from analysis of conformal partial expansions of Green functions invariant in regard to a small conformal group. Kernel poles of the expansions define the contribution of the second fields to the expansion.