Convergent Perturbation Theory for the lattice $\phi^4$-model
High Energy Physics - Lattice
2015-11-20 v1
Abstract
The standard lattice perturbation theory leads to the asymptotic series because of the incorrect interchange of the summation and integration. However, changing the initial approximation of the perturbation theory, one can generate the convergent series. We study the lattice -model and compare the operator calculated using the convergent series and obtained by Monte Carlo simulations.
Cite
@article{arxiv.1511.05959,
title = {Convergent Perturbation Theory for the lattice $\phi^4$-model},
author = {Vladimir V. Belokurov and Aleksandr S. Ivanov and Vasily K. Sazonov and Eugeny T. Shavgulidze},
journal= {arXiv preprint arXiv:1511.05959},
year = {2015}
}
Comments
9 pages, 6 figures. The 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe International Conference Center, Kobe, Japan