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Continuum limit in the fermionic hierarchical model

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Abstract

We discuss the problem of rigorously constructing the continuum limit in the fermionic hierarchical model. The continuum limit constructed as the limit of fields on the refined hierarchical lattices is a field on a p-adic continuum. We investigate the problem of reconstructing the coupling constants of the continuum model from the coupling constants of the discretized model.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 1, pp. 40–50, January, 1999.

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Missarov, M.D. Continuum limit in the fermionic hierarchical model. Theor Math Phys 118, 32–40 (1999). https://doi.org/10.1007/BF02557193

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