We study the shape of flux tube in lattice Yang-Mills theories and particular its intrinsic width. In framework Effective String Theory description confining this width has no measurable effects on inter-quark static potential, but it can be precisely detected looking at profile tube. address problem with a set high precision simulations (2+1) dimensional SU(2) model. find two different behaviours as function temperature. low temperature regime ($T \ll T_c$) we good agreement an expression...

We study the shape of flux tube in lattice Yang-Mills theories and particular its intrinsic width. In framework Effective String Theory description confining this width has no measurable effects on inter-quark static potential, but it can be precisely detected looking at profile tube. address problem with a set high precision simulations (2+1) dimensional $\mathrm{SU}(2)$ model. find two different behaviours as function temperature. low temperature regime ($T \ll T_c$) we good agreement an...

A bstract Flow-based architectures have recently proved to be an efficient tool for numerical simulations of Effective String Theories regularized on the lattice that otherwise cannot efficiently sampled by standard Monte Carlo methods. In this work we use Stochastic Normalizing Flows, a state-of-the-art deep learning architecture based non-equilibrium simulations, study different effective string models. After testing reliability approach through comparison with exact results Nambu-Gotō...

A bstract Normalizing flows are a class of deep generative models that provide promising route to sample lattice field theories more efficiently than conventional Monte Carlo simulations. In this work we show the theoretical framework stochastic normalizing flows, in which neural-network layers combined with updates, is same underlies out-of-equilibrium simulations based on Jarzynski’s equality, have been recently deployed compute free-energy differences gauge theories. We lay out strategy...

A bstract Effective String Theory (EST) represents a powerful non-perturbative approach to describe confinement in Yang-Mills theory that models the confining flux tube as thin vibrating string. EST calculations are usually performed using zeta-function regularization: however there situations (for instance study of shape or higher order corrections beyond Nambu-Goto EST) which involve observables too complex be addressed this way. In paper we propose numerical based on recent advances...

Effective String Theory (EST) is a powerful tool used to study confinement in pure gauge theories by modeling the confining flux tube connecting static quark-anti-quark pair as thin vibrating string. Recently, flow-based samplers have been applied an efficient numerical method EST regularized on lattice, opening route observables previously inaccessible standard analytical methods. Flow-based are class of algorithms based Normalizing Flows (NFs), deep generative models recently proposed...

Non-equilibrium Monte Carlo simulations based on Jarzynski's equality are a well-understood method to compute differences in free energy and also sample from target probability distribution without the need thermalize system under study. In each evolution, starts given base at equilibrium it is gradually driven out-of-equilibrium while evolving towards parameters. If suffers long autocorrelation times, this approach represents promising candidate mitigate critical slowing down....

Flow-based architectures have recently proved to be an efficient tool for numerical simulations of Effective String Theories regularized on the lattice that otherwise cannot efficiently sampled by standard Monte Carlo methods. In this work we use Stochastic Normalizing Flows, a state-of-the-art deep-learning architecture based non-equilibrium simulations, study different effective string models. After testing reliability approach through comparison with exact results Nambu-Got\={o} model,...

We introduce a novel technique to numerically calculate R\'enyi entanglement entropies in lattice quantum field theory using generative models. describe how flow-based approaches can be combined with the replica trick custom neural-network architecture around defect connecting two replicas. Numerical tests for $\phi^4$ scalar and three dimensions demonstrate that our outperforms state-of-the-art Monte Carlo calculations, exhibit promising scaling size.

Stochastic normalizing flows are a class of deep generative models that combine with Monte Carlo updates and can be used in lattice field theory to sample from Boltzmann distributions. In this proceeding, we outline the construction these hybrid algorithms, pointing out theoretical background related Jarzynski's equality, non-equilibrium statistical mechanics theorem has been successfully compute free energy theory. We conclude examples applications two-dimensional $\phi^4$

Effective String Theory (EST) represents a powerful non-perturbative approach to describe confinement in Yang-Mills theory that models the confining flux tube as thin vibrating string. EST calculations are usually performed using zeta-function regularization: however there situations (for instance study of shape or higher order corrections beyond Nambu-Goto EST) which involve observables too complex be addressed this way. In paper we propose numerical based on recent advances machine...

Non-equilibrium Monte Carlo simulations based on Jarzynski's equality are a well-understood method to compute differences in free energy and also sample from target probability distribution without the need thermalize system under study. In each evolution, starts given base at equilibrium it is gradually driven out-of-equilibrium while evolving towards parameters. If suffers long autocorrelation times, this approach represents promising candidate mitigate critical slowing down....

Effective String Theory (EST) is a powerful tool used to study confinement in pure gauge theories by modeling the confining flux tube connecting static quark-anti-quark pair as thin vibrating string. Recently, flow-based samplers have been applied an efficient numerical method EST regularized on lattice, opening route observables previously inaccessible standard analytical methods. Flow-based are class of algorithms based Normalizing Flows (NFs), deep generative models recently proposed...

Non-equilibrium Markov Chain Monte Carlo (NE-MCMC) simulations provide a well-understood framework based on Jarzynski's equality to sample from target probability distribution. By driving base distribution out of equilibrium, observables are computed without the need thermalize. If is characterized by mild autocorrelations, this approach provides way mitigate critical slowing down. Out-of-equilibrium evolutions share same flow-based approaches and they can be naturally combined into novel...

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...

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...

Stochastic normalizing flows are a class of deep generative models that combine with Monte Carlo updates and can be used in lattice field theory to sample from Boltzmann distributions. In this proceeding, we outline the construction these hybrid algorithms, pointing out theoretical background related Jarzynski's equality, non-equilibrium statistical mechanics theorem has been successfully compute free energy theory. We conclude examples applications two-dimensional $\phi^4$