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Directed Percolation : Calculation of Feynman Diagrams in the Three-Loop Approximation. / Adzhemyan, Loran Ts; Hnatič, Michal; Kompaniets, Mikhail V.; Lučivjanský, Tomáš; Mižišin, Lukáš.

Mathematical Modeling and Computational Physics 2017, MMCP 2017. ed. / Michal Hnatic; Gheorghe Adam; Gheorghe Adam; Jan Busa; Michal Hnatic; Dmitry Podgainy. Vol. 173 EDP Sciences, 2018. 02001 (EPJ Web of Conferences; Vol. 173).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Adzhemyan, LT, Hnatič, M, Kompaniets, MV, Lučivjanský, T & Mižišin, L 2018, Directed Percolation: Calculation of Feynman Diagrams in the Three-Loop Approximation. in M Hnatic, G Adam, G Adam, J Busa, M Hnatic & D Podgainy (eds), Mathematical Modeling and Computational Physics 2017, MMCP 2017. vol. 173, 02001, EPJ Web of Conferences, vol. 173, EDP Sciences, 9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017, Dubna, Russian Federation, 3/07/17. https://doi.org/10.1051/epjconf/201817302001

APA

Adzhemyan, L. T., Hnatič, M., Kompaniets, M. V., Lučivjanský, T., & Mižišin, L. (2018). Directed Percolation: Calculation of Feynman Diagrams in the Three-Loop Approximation. In M. Hnatic, G. Adam, G. Adam, J. Busa, M. Hnatic, & D. Podgainy (Eds.), Mathematical Modeling and Computational Physics 2017, MMCP 2017 (Vol. 173). [02001] (EPJ Web of Conferences; Vol. 173). EDP Sciences. https://doi.org/10.1051/epjconf/201817302001

Vancouver

Adzhemyan LT, Hnatič M, Kompaniets MV, Lučivjanský T, Mižišin L. Directed Percolation: Calculation of Feynman Diagrams in the Three-Loop Approximation. In Hnatic M, Adam G, Adam G, Busa J, Hnatic M, Podgainy D, editors, Mathematical Modeling and Computational Physics 2017, MMCP 2017. Vol. 173. EDP Sciences. 2018. 02001. (EPJ Web of Conferences). https://doi.org/10.1051/epjconf/201817302001

Author

Adzhemyan, Loran Ts ; Hnatič, Michal ; Kompaniets, Mikhail V. ; Lučivjanský, Tomáš ; Mižišin, Lukáš. / Directed Percolation : Calculation of Feynman Diagrams in the Three-Loop Approximation. Mathematical Modeling and Computational Physics 2017, MMCP 2017. editor / Michal Hnatic ; Gheorghe Adam ; Gheorghe Adam ; Jan Busa ; Michal Hnatic ; Dmitry Podgainy. Vol. 173 EDP Sciences, 2018. (EPJ Web of Conferences).

BibTeX

@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",

}

RIS

TY - GEN

T1 - Directed Percolation

T2 - 9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017

AU - Adzhemyan, Loran Ts

AU - Hnatič, Michal

AU - Kompaniets, Mikhail V.

AU - Lučivjanský, Tomáš

AU - Mižišin, Lukáš

PY - 2018/2/14

Y1 - 2018/2/14

N2 - 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.

AB - 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.

KW - NONSINGULAR INTEGRALS

KW - ANOMALOUS DIMENSIONS

KW - BETA-FUNCTION

KW - FIELD-THEORY

KW - REPRESENTATION

UR - http://www.scopus.com/inward/record.url?scp=85042376087&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/directed-percolation-calculation-feynman-diagrams-threeloop-approximation

U2 - 10.1051/epjconf/201817302001

DO - 10.1051/epjconf/201817302001

M3 - Conference contribution

AN - SCOPUS:85042376087

SN - 9782759890347

VL - 173

T3 - EPJ Web of Conferences

BT - Mathematical Modeling and Computational Physics 2017, MMCP 2017

A2 - Hnatic, Michal

A2 - Adam, Gheorghe

A2 - Adam, Gheorghe

A2 - Busa, Jan

A2 - Hnatic, Michal

A2 - Podgainy, Dmitry

PB - EDP Sciences

Y2 - 3 July 2017 through 7 July 2017

ER -

ID: 36311837