p-adic renormalization group solutions and the euclidean renormalization group conjectures

被引：11
作者：
M. D. Missarov
机构：
[1] Kazan Federal University, Kazan
来源：
P-Adic Numbers, Ultrametric Analysis, and Applications | 2012年 / 4卷 / 2期
关键词：
bosonic and fermionic models; p-adic and Euclidean models; Wilson’s renormalization group;
D O I：
10.1134/S2070046612020033
中图分类号：
学科分类号：
摘要：
We discuss algebraic similarity of the Wilson’s renormalization groups in the Euclidean and p-adic spaces. Automodel Hamiltonians have identical form in both cases in the framework of perturbation theory. Fermionic p-adic model has exact renormalization group solution which generates a list of non-trivial conjectures for the Euclidean case. © 2012, Pleiades Publishing, Ltd.
引用
收藏
页码：109 / 114
页数：5
相关论文
共 21 条
[1]  
Volovich I.V., p-Adic string, Class. Quant. Grav, 4, pp. 83-87, (1987)
[2]  
Vladimirov V.S., Volovich I.V., Zelenov E.I., p-Adic Analysis and Mathematical Physic, (1994)
[3]  
Khrennikov A.Y., p-Adic-Valued Distributions inMathematical Physic, (1994)
[4]  
Kochubei A.N., Pseudo-Differential Equations and Stochastics over non-Archimedean Field, (2001)
[5]  
Dragovich B., Khrennikov A.Y., Kozyrev S.V., Volovich I.V., On p-adicmathematical physics, p-Adic Numb. Ultr.Anal. Appl, 1, 1, pp. 1-17, (2007)
[6]  
Brekke L., Freund P.G.O., p-Adic numbers in physics, Phys. Rep, 233, pp. 1-66, (1993)
[7]  
Lerner E.Y., Missarov M.D., Scalar models p-adic quantum field thery and Dyson’s hierarchical model, Theor. Math. Phys, 78, pp. 248-257, (1989)
[8]  
Missarov M.D., RG-invariant curves in the fermionic hierarchical model, Theor. Math. Phys, 114, pp. 323-336, (1998)
[9]  
Missarov M.D., Critical phenomena in the fermionic hierarchicalmodel, Theor. Math. Phys, 117, pp. 471-488, (1998)
[10]  
Missarov M.D., Continuous limit in the fermionic hierarchical model, Theor. Math. Phys, 118, pp. 40-50, (1999)
123