Abstract
Invariant functional formulation of SU(2)⊗SU(2) chiral dynamics is considered. A system of invariant functional equations for the (S-matrix) generating functional is obtained as well as the infinite system of integral equations for the Green functions.It is shown, that all the Green functions of chiral currents may be expressed in terms of the Green function of the quantized Sugawara equation and its vertex part. The solution of the functional equations of the theory is obtained in a closed form as a functional integral over the chiral current divergence. To remove the divergences, regularization is introduced by means of finite number of invariant counterterms, added to the original Lagrangian. The approximate calculation of the generating functional by the stationary phase method applied to the functional integral over the chiral current divergence is studied.
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