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

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 = 4-d.

Авторы
Adzhemyan L.T. 1 , Kompaniets M.V. 1 , Hnatič M. 2, 3, 4 , Mižišin L. 2, 3 , Lučivjanský T. 4, 5
Conference proceedings
Издательство
EDP Sciences
Язык
English
Страницы
02001
Статус
Published
Год
2018
Организации
  • 1 Saint Petersburg State University
  • 2 Bogoliubov Laboratory of Theoretical Physics|JINR
  • 3 Slovak Academy of Sciences|Institute of Experimental Physics
  • 4 Faculty of Sciences|P. J. Šafárik University in Košice
  • 5 Peoples' Friendship University of Russia|RUDN University
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