@inproceedings{7f3196e0619742fe8ab28cd1789ffa87,

title = "Directed Percolation: Calculation of Feynman Diagrams in the Three-Loop Approximation",

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.",

keywords = "NONSINGULAR INTEGRALS, ANOMALOUS DIMENSIONS, BETA-FUNCTION, FIELD-THEORY, REPRESENTATION",

author = "Adzhemyan, {Loran Ts} and Michal Hnati{\v c} and Kompaniets, {Mikhail V.} and Tom{\'a}{\v s} Lu{\v c}ivjansk{\'y} and Luk{\'a}{\v s} Mi{\v z}i{\v s}in",

year = "2018",

month = feb,

day = "14",

doi = "10.1051/epjconf/201817302001",

language = "English",

isbn = "9782759890347",

volume = "173",

series = "EPJ Web of Conferences",

publisher = "EDP Sciences",

editor = "Michal Hnatic and Gheorghe Adam and Gheorghe Adam and Jan Busa and Michal Hnatic and Dmitry Podgainy",

booktitle = "Mathematical Modeling and Computational Physics 2017, MMCP 2017",

address = "France",

note = "9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017 ; Conference date: 03-07-2017 Through 07-07-2017",

}