Critical phenomena in the fermionic hierarchical model

T. C. Dorlas

G. Benfatto, Giovanni Gallavotti, Ian Jauslin

Sergio A Albeverio, Yu. G. Kondratiev, Yuri V. Kozitsky

Muir Wood, D, Gajo, A

Carlos Henrique Costa Moreira, Ricardo S. Schor

Роман Григорьевич Степанов

We consider the problem of algebraic computation of the critical exponent ν in the 2N-component fermionic Dyson model on a hierarchical lattice without the use of perturbation theory. Analyzing the results in a particular case when N = 2, we conclude that an algebraic approach in this model gives the same expression for ν as the approach of functional integration via Feynman diagrams in the p-adic ϕ 4-model.