Chiral field model and universality in three-dimensional space. II

In the framework of the noncanonically renormalized (with soft mass) $1/N$ expansion of the $O(N)$ $(\varphi^2)_3^2$ model (which is free of infrared divergences) constructed in Part I we prove the existence of a critical limit and that this limit coincides with the conformally invariant critical theory of the $O(N)$ – invariant chiral field. The proof makes essential use of generalized quantum chirality relations of the limiting universal theory. We construct a $1/N$ expansion of the superrenormalizable “temperature” and “magnetic” perturbations of the pre-asymptotic and critical theories, which is important for the field-theoretical description of critical behavior.