Diffusion models for lattice gauge field simulations

Autor:	Zhu, Qianteng, Aarts, Gert, Wang, Wei, Zhou, Kai, Wang, Lingxiao
Rok vydání:	2024
Předmět:	High Energy Physics - Lattice
Druh dokumentu:	Working Paper
Popis:	We develop diffusion models for lattice gauge theories which build on the concept of stochastic quantization. This framework is applied to $U(1)$ gauge theory in $1+1$ dimensions. We show that a model trained at one small inverse coupling can be effectively transferred to larger inverse coupling without encountering issues related to topological freezing, i.e., the model can generate configurations corresponding to different couplings by introducing the Boltzmann factors as physics conditions, while maintaining the correct physical distributions without any additional training. This demonstrates the potential of physics-conditioned diffusion models for efficient and flexible lattice gauge theory simulations. Comment: 7 pages, 3 figures, accepted at the NeurIPS 2024 workshop "Machine Learning and the Physical Sciences"
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.19602 Zobrazit plný text záznamu View this record from Arxiv