Local Discontinuous Galerkin for the Functional Renormalisation Group
High Energy Physics - Theory
2022-08-17 v2 High Energy Physics - Phenomenology
Abstract
We apply the Local Discontinuous Galerkin discretisation to flow equations of the O(N)-model in the Local Potential Approximation. The improved stability is directly observed by solving the flow equation for various and space-time dimensions . A particular focus of this work is the numerical discretisation and its implementation. The code is publicly available, and is explained in detail here. It is realised as a module within the high performance PDE framework DUNE.
Cite
@article{arxiv.2207.12266,
title = {Local Discontinuous Galerkin for the Functional Renormalisation Group},
author = {Friederike Ihssen and Jan M. Pawlowski and Franz R. Sattler and Nicolas Wink},
journal= {arXiv preprint arXiv:2207.12266},
year = {2022}
}
Comments
18 pages, 10 figures