Papers › Local Discontinuous Galerkin for the Functional Renormalisation Group

Local Discontinuous Galerkin for the Functional Renormalisation Group

25 Jul 2022arXiv:2207.12266links table onlyarchive 2025-07-28

Friederike Ihssen, Jan M. Pawlowski, Franz R. Sattler, Nicolas Wink

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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 N and space-time dimensions d. 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.

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