Geodesic
The renormalization group flow properties in the neighborhood of the Gaussian fixed point
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2014), pp. 87-92

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We investigate a dynamics of renormalization group transformation in the fermionic hierarchical model given by the lagrangian. We construct the invariant neighborhood of the Gaussian fixed point in the upper half-plane. We describe the subsets of the points of this neighborhood tending to the Gaussian fixed point under the iterations of the renormalization group transformation from the left and from the right.
Keywords: renomalization group, fermionic hierarchical model, Gaussian fixed point. 
@article{IVM_2014_9_a9,
     author = {A. F. Shamsutdinov},
     title = {The renormalization group flow properties in the neighborhood of the {Gaussian} fixed point},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {87--92},
     publisher = {mathdoc},
     number = {9},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_9_a9/}
}
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A. F. Shamsutdinov. The renormalization group flow properties in the neighborhood of the Gaussian fixed point. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2014), pp. 87-92. http://geodesic.mathdoc.fr/item/IVM_2014_9_a9/