Five-loop numerical evaluation of critical exponents of the 4 theory

15th International Workshop on Advanced Computing and Analysis Techniques in Physics Research

物理学;计算机科学

Adzhemyan, L. Ts^1 ; Kompaniets, M.V.^1

Department of Theoretical Physics, St. Petersburg State University, Uljanovskaja 1 Petrodvorez, St.-Petersburg, 198504, Russia^1

关键词: Beta function;    Critical exponent;    New approaches;    Numerical calculation;    Renormalization;    Renormalization group methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/523/1/012049/pdf
DOI  :  10.1088/1742-6596/523/1/012049

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We present a new approach to calculation of anomalous dimensions in the framework of e-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized 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 φ4model.