Renormalization group in a fermionic hierarchical model in projective coordinates |
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Authors: | M. D. Missarov |
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Affiliation: | 1. Kazan (Volga Region) Federal University, Kazan, Russia
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Abstract: | We study the renormalization group action in a fermionic hierarchical model in the space of coefficients determining the Grassmann-valued density of the free measure. This space is interpreted as the two-dimensional projective space. The renormalization group map is a homogeneous quadratic map and has a special geometric property that allows describing invariant sets and the global dynamics in the whole space. |
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