Diagram Reduction in Problem of Critical Dynamics of Ferromagnets: 4-Loop Approximation
Statistical Mechanics
2018-04-18 v1 Chaotic Dynamics
Abstract
Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent of model A at 4-loop level, where our method allows to reduce number of integrals from 66 to 17. The way of constructing the integrand in Feynman representation of such diagrams is discussed. Integrals were estimated numerically with Sector Decomposition technique.
Keywords
Cite
@article{arxiv.1712.05917,
title = {Diagram Reduction in Problem of Critical Dynamics of Ferromagnets: 4-Loop Approximation},
author = {L. Ts. Adzhemyan and E. V. Ivanova and M. V. Kompaniets and S. Ye. Vorobyeva},
journal= {arXiv preprint arXiv:1712.05917},
year = {2018}
}