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Invariant manifolds of a renormalization group and critical behaviour in a hierarchical fermion model. (Russian) Zbl 0894.35090

The author discusses invariant manifolds of a birational mapping. This mapping assigns the action of the renormalization group in the plane of coupling constants of a hierarchical fermion model. Some critical indices of this model are determined.

MSC:

35Q40 PDEs in connection with quantum mechanics
81T17 Renormalization group methods applied to problems in quantum field theory