Local Discontinuous Galerkin for the Functional Renormalisation Group

التفاصيل البيبلوغرافية
العنوان: Local Discontinuous Galerkin for the Functional Renormalisation Group
المؤلفون: Ihssen, Friederike, Pawlowski, Jan M., Sattler, Franz R., Wink, Nicolas
سنة النشر: 2022
المجموعة: High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, High Energy Physics - Phenomenology
الوصف: 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.
Comment: 18 pages, 10 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2207.12266
رقم الأكسشن: edsarx.2207.12266
قاعدة البيانات: arXiv