Continuum limit in the fermionic hierarchical model
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 1, pp. 40-50
M. D. Missarov. Continuum limit in the fermionic hierarchical model. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 1, pp. 40-50. http://geodesic.mathdoc.fr/item/TMF_1999_118_1_a2/
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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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