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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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 173, No. 3, pp. 355–362, December, 2012.
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Missarov, M.D. Renormalization group in a fermionic hierarchical model in projective coordinates. Theor Math Phys 173, 1637–1643 (2012). https://doi.org/10.1007/s11232-012-0137-z
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DOI: https://doi.org/10.1007/s11232-012-0137-z