Field-theoretic analysis of directed percolation: Three-loop approximation

Authors

Loran Ts Adzhemyan, Saint Petersburg State University
Michal Hnatič, Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research
Ella V. Ivanova, Newark College of Engineering
Mikhail V. Kompaniets, Saint Petersburg State University
Tomǎš Lučivjanský, Pavol Jozef Šafárik University in Košice
Lukáš MiŽišin, Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research

Document Type

Article

Publication Date

6-1-2023

Abstract

The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition between active and absorbing states. In this paper, we study this model by means of the field-theoretic formulation with a subsequent renormalization group analysis. We calculate all critical exponents needed for the quantitative description of the corresponding universality class to the third order in perturbation theory. Using dimensional regularization with minimal subtraction scheme, we carry out perturbative calculations in a formally small parameter ɛ, where ɛ=4-d is a deviation from the upper critical dimension dc=4. We use a nontrivial combination of analytical and numerical tools in order to determine ultraviolet divergent parts of Feynman diagrams.

Identifier

85164013878 (Scopus)

Publication Title

Physical Review E

External Full Text Location

https://doi.org/10.1103/PhysRevE.107.064138

e-ISSN

24700053

ISSN

24700045

PubMed ID

37464654

Issue

6

Volume

107

Grant

APVV-21-0319

Fund Ref

Ministerstvo školstva, vedy, výskumu a športu Slovenskej republiky

Recommended Citation

Adzhemyan, Loran Ts; Hnatič, Michal; Ivanova, Ella V.; Kompaniets, Mikhail V.; Lučivjanský, Tomǎš; and MiŽišin, Lukáš, "Field-theoretic analysis of directed percolation: Three-loop approximation" (2023). Faculty Publications. 1713.
https://digitalcommons.njit.edu/fac_pubs/1713