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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2014},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_9_a9/}
}
TY  - JOUR
AU  - A. F. Shamsutdinov
TI  - The renormalization group flow properties in the neighborhood of the Gaussian fixed point
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 87
EP  - 92
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_9_a9/
LA  - ru
ID  - IVM_2014_9_a9
ER  - 
%0 Journal Article
%A A. F. Shamsutdinov
%T The renormalization group flow properties in the neighborhood of the Gaussian fixed point
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 87-92
%N 9
%U http://geodesic.mathdoc.fr/item/IVM_2014_9_a9/
%G ru
%F IVM_2014_9_a9
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/

[1] Missarov M. D., “Renormalization group and renormalization theory in $p$-adic and adelic scalar models”, Dynamical systems and statistical mechanics, Adv. Sov. Math., 3, ed. Ya. G. Sinai, Amer. Math. Soc., 1991, 143–161 | MR

[2] Vladimirov V. S., Volovich I. V., Zelenov E. I., $p$-adicheskii analiz i matematicheskaya fizika, Fizmatlit, M., 1994 | MR | Zbl

[3] Missarov M. D., “Renormalizatsionnaya gruppa v fermionnoi ierarkhicheskoi modeli v proektivnykh koordinatakh”, TMF, 173:3 (2012), 355–362 | DOI | Zbl

[4] Lerner E. Yu., Missarov M. D., “Fixed points of renormalization group in the hierarchical fermionic model”, J. Stat. Phys., 76:3/4 (1994), 805–817 | DOI | MR | Zbl

[5] Missarov M. D., “Dynamical phenomena in the hierarchical fermionic model”, Phys. Lett. A, 253 (1999), 41–46 | DOI