Directed Percolation: Calculation of Feynman Diagrams in the Three-Loop Approximation

被引：4

作者：

Adzhemyan, Loran Ts. ^{[1
]}

Hnatic, Michal ^{[2
,3
,4
]}

Kompaniets, Mikhail V. ^{[1
]}

Luoivjansky, Tomas ^{[4
,5
]}

Mizisin, Lukas ^{[2
,3
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

[2] JINR, Bogoliubov Lab Theoret Phys, Dubna, Russia

[3] Slovak Acad Sci, Inst Expt Phys, Kosice, Slovakia

[4] PJ Safarik Univ Kosice, Fac Sci, Kosice, Slovakia

[5] Peoples Friendship Univ Russia RUDN Univ, Moscow, Russia

来源：

MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS 2017 (MMCP 2017) | 2018年 / 173卷

关键词：

ANOMALOUS DIMENSIONS; BETA-FUNCTION; REPRESENTATION;

D O I：

10.1051/epjconf/201817302001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The directed bond percolation process is an important model in statistical physics. By now its universal properties are known only up to the second-order of the perturbation theory. Here, our aim is to put forward a numerical technique with anomalous dimensions of directed percolation to higher orders of perturbation theory and is focused on the most complicated Feynman diagrams with problems in calculation. The anomalous dimensions are computed up to three-loop order in epsilon = 4 - d.

引用

页数：4

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