Geodesic
Renormalization group in a~fermionic hierarchical model
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 282-293

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A study is made of a hierarchical model with spin values in a Grassmann algebra defined by a potential of general form. The action of the spin-block renormalization group in the space of Hamiltonians is reduced to a rational mapping of the space of coupling constants into itself. The methods of the theory of bifurcations are used to investigate the nontrivial fixed points of this mapping. A theorem establishing the existence of a thermodynamic limit of the model at these points in a certain neighborhood of a bifurcation value is proved. 
@article{TMF_1994_101_2_a9,
     author = {\'E. Yu. Lerner and M. D. Missarov},
     title = {Renormalization group in a~fermionic hierarchical model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {101},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a9/}
}
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É. Yu. Lerner; M. D. Missarov. Renormalization group in a~fermionic hierarchical model. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 2, pp. 282-293. http://geodesic.mathdoc.fr/item/TMF_1994_101_2_a9/