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
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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
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