Critical exponents in fermionic hierarchical model

被引：0
|
作者：
Stepanov, Roman G. [1 ]
机构：
[1] Kazan VI Lenin State Univ, Fac Comp Sci & Cybernet, Dept Econ Cybernet, Kazan 420008, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2009年 / 265卷 / 01期
关键词：
RENORMALIZATION-GROUP;
D O I：
10.1134/S0081543809020217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 I center dot (4)-model.
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页码：229 / 234
页数：6
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