Learning Trivializing Flows in a $\phi^4$ theory from coarser lattices

التفاصيل البيبلوغرافية
العنوان: Learning Trivializing Flows in a $\phi^4$ theory from coarser lattices
المؤلفون: Albandea, David, Del Debbio, Luigi, Hernández, Pilar, Kenway, Richard, Rossney, Joe Marsh, Ramos, Alberto
سنة النشر: 2023
المجموعة: High Energy Physics - Lattice
مصطلحات موضوعية: High Energy Physics - Lattice
الوصف: The so-called trivializing flows were proposed to speed up Hybrid Monte Carlo simulations, where the Wilson flow was used as an approximation of a trivializing map, a transformation of the gauge fields which trivializes the theory. It was shown that the scaling of the computational costs towards the continuum did not change with respect to HMC. The introduction of machine learning tecniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on solving topology freezing in lattice QCD simulations. In this talk I will present our work in a $\phi^{4}$ theory using normalizing flows as trivializing flows (given its similarity with the idea of a trivializing map), training from a trivial distribution as well as from coarser lattices, and study its scaling towards the continuum, comparing it with standard HMC.
Comment: 7 pages of main content, 5 figures, 1 table. Talk presented at the 40th International Symposium on Lattice Field Theory (Lattice2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.03381
رقم الأكسشن: edsarx.2310.03381
قاعدة البيانات: arXiv