This article is cited in 16 papers

Continuum limit in the fermionic hierarchical model

M. D. Missarov

Kazan State University

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.

Received: 29.05.1998

DOI: 10.4213/tmf684

 English version: Theoretical and Mathematical Physics, 1999, 118:1, 32–40

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