Functional equations and renormalization in p-adic field theories

被引：3
作者：
Missarov, MD
机构：
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1996年 / 109卷 / 01期
关键词：
D O I：
10.1007/BF02069883
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The procedure of constructing the discrete approximation of p-adic phi(4)-theory on a hierarchical lattice is reduced to the solution of an integral functional equation. The renormalization procedure and beta-functions are constructed in terms of this solution.
引用
收藏
页码：1249 / 1259
页数：11
相关论文
共 12 条
[1]  
[Anonymous], 1994, P ADIC ANAL MATH PHY
[2]   CRITICAL PHENOMENA AND UNIVERSAL EXPONENTS IN STATISTICAL PHYSICS - ON DYSON HIERARCHICAL MODEL [J].
BLEHER, PM ;
MAJOR, P .
ANNALS OF PROBABILITY, 1987, 15 (02) :431-477
[3]   INVESTIGATION OF CRITICAL-POINT IN MODELS OF TYPE OF DYSONS HIERARCHICAL MODELS [J].
BLEHER, PM ;
SINAI, JG .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 33 (01) :23-42
[4]  
BREKKE L, 1993, PHYS REP, P2
[5]  
COLLET P, 1978, LECT NOTES PHYS, V74
[6]   FIXED-POINTS OF RENORMALIZATION-GROUP FOR THE HIERARCHICAL FERMIONIC MODEL [J].
LERNER, EY ;
MISSAROV, MD .
JOURNAL OF STATISTICAL PHYSICS, 1994, 76 (3-4) :805-817
[7]   P-ADIC FEYNMAN AND STRING AMPLITUDES [J].
LERNER, EY ;
MISSAROV, MD .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (01) :35-48
[8]   Feynman integrals with a p-adic argument in momentum space .3. Renormalization [J].
Lerner, EY .
THEORETICAL AND MATHEMATICAL PHYSICS, 1996, 106 (02) :195-208
[9]   SCALAR MODELS OF P-ADIC QUANTUM-FIELD THEORY AND HIERARCHICAL-MODELS [J].
LERNER, EY ;
MISSAROV, MD .
THEORETICAL AND MATHEMATICAL PHYSICS, 1989, 78 (02) :177-184
[10]   FUNCTIONAL INTEGRAL VIA FUNCTIONAL-EQUATION [J].
MISSAROV, MD .
LETTERS IN MATHEMATICAL PHYSICS, 1994, 32 (04) :347-356
12