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Статья
2014

Properties of renormalization group flow in the neighborhood of Gaussian fixed point


A. F. ShamsutdinovA. F. Shamsutdinov
Русская математика
https://doi.org/10.3103/S1066369X14090102
Abstract / Full Text

We investigate the dynamics of the 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 g > 0. 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.

Author information
  • Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, RussiaA. F. Shamsutdinov
References
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