Geodesic
Critical Exponents in Fermionic Hierarchical Model
Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 241-246

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We consider the problem of algebraic computation of the critical exponent $\nu$ 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 $\nu$ as the approach of functional integration via Feynman diagrams in the $p$-adic $\varphi ^4$-model. 
@article{TRSPY_2009_265_a20,
     author = {R. G. Stepanov},
     title = {Critical {Exponents} in {Fermionic} {Hierarchical} {Model}},
     journal = {Informatics and Automation},
     pages = {241--246},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a20/}
}
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R. G. Stepanov. Critical Exponents in Fermionic Hierarchical Model. Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 241-246. http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a20/