| Issue |
EPJ Web Conf.
Volume 173, 2018
Mathematical Modeling and Computational Physics 2017 (MMCP 2017)
|
|
|---|---|---|
| Article Number | 02001 | |
| Number of page(s) | 4 | |
| Section | Mathematical Modeling and Methods | |
| DOI | https://doi.org/10.1051/epjconf/201817302001 | |
| Published online | 14 February 2018 | |
https://doi.org/10.1051/epjconf/201817302001
Directed Percolation: Calculation of Feynman Diagrams in the Three-Loop Approximation
1 Saint Petersburg State University, St. Petersburg, Russia
2 Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia
3 Slovak academy of Sciences, Institute of Experimental Physics, Košice, Slovak Republic
4 Faculty of Sciences, P. J. Šafárik University in Košice, Košice, Slovak Republic
5 Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia
* e-mail: lukas.mizisin@gmail.com
Published online: 14 February 2018
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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