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

Loran Ts Adzhemyan, Michal Hnatič, Mikhail V. Kompaniets, Tomáš Lučivjanský, Lukáš Mižišin

Research outputpeer-review

1 Citation (Scopus)

Abstract

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 ϵ = 4-d.

Original languageEnglish
Title of host publicationMathematical Modeling and Computational Physics 2017, MMCP 2017
EditorsMichal Hnatic, Gheorghe Adam, Gheorghe Adam, Jan Busa, Michal Hnatic, Dmitry Podgainy
PublisherEDP Sciences
Number of pages4
Volume173
ISBN (Electronic)9782759890347
ISBN (Print)9782759890347
DOIs
Publication statusPublished - 14 Feb 2018
Event9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017 - Dubna
Duration: 3 Jul 20177 Jul 2017

Publication series

NameEPJ Web of Conferences
PublisherE D P SCIENCES
Volume173
ISSN (Print)2100-014X

Conference

Conference9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017
CountryRussian Federation
CityDubna
Period3/07/177/07/17

Scopus subject areas

  • Physics and Astronomy(all)

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