Five-loop numerical evaluation of critical exponents of the φ4 theory

被引：17

作者：

Adzhemyan, L. Ts. ^{[1
]}

Kompaniets, M. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Theoret Phys, Uljanovskaja 1, St Petersburg 198504, Petrodvorez, Russia

来源：

15TH INTERNATIONAL WORKSHOP ON ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH (ACAT2013) | 2014年 / 523卷

关键词：

RENORMALIZATION-GROUP; ANOMALOUS DIMENSIONS; BETA-FUNCTION; R-OPERATION; REPRESENTATION; ALGORITHM; INTEGRALS; PROOF;

D O I：

10.1088/1742-6596/523/1/012049

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present a new approach to calculation of anomalous dimensions in the framework of epsilon-expansion and re:normalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of re:normalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of beta-function and anomalous dimensions in phi(4) model.

引用

页数：8

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