Solution of a class of conformal quantum field theory models in D-dimensional space

Proposed is a method of solving a class of conformal quantum field theory models in D-dimensional Euclidean space-time. Some of the models are determined by regularized field equations. The method allows closed differential equations to be obtained for each Green function of fundamental and composite fields, and also algebraic equations for scale dimensions of fields. Each D is greater than 2-model involves an analog of the central charge, i.e., a special scalar field P of dimension d(sub p)=D-2. When D=2 this field turns into a constant. A new class of D=2 models was also obtained with broken infinite parameter symmetry. Closed differential equation for Green functions of these models are found. As an illustration of how the method works, solutions of the Thirring and Wess-Zumino-Witten models and the two-dimensional Ising model were derived.