Sampling Nambu-Goto theory using Normalizing Flows

• DOI: 10.48550/arxiv.2309.14983
• Publication Date: 2023-01-01
• Authors: Michele Caselle; Elia Cellini; Alessandro Nada
• Keywords: Lattice (music); Goto; Benchmark (surveying)

Effective String Theory (EST) is a non-perturbative framework used to describe confinement in Yang-Mills theory through the modeling of interquark potential terms vibrating strings. An efficient numerical method simulate such theories where analytical studies are challenging still lacking. However, recent years new class deep generative models called Normalizing Flows (NFs) has been proposed sample lattice field more efficiently than traditional Monte Carlo methods. In this contribution, we show proof concept application NFs EST regularized on lattice. Namely, introduce Physics-Informed Stochastic and use them Nambu-Goto string action with two goals: known results as benchmark demonstrate efficiency our obtaining physical interest particular providing for conjecture regarding width string.