[HTML][HTML] 50 Years of quantum chromodynamics: Introduction and Review

F Gross, E Klempt, SJ Brodsky, AJ Buras… - The European Physical …, 2023 - Springer
Quantum Chromodynamics, the theory of quarks and gluons, whose interactions can be
described by a local SU (3) gauge symmetry with charges called “color quantum numbers” …

Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics

K Cranmer, G Kanwar, S Racanière… - Nature Reviews …, 2023 - nature.com
Sampling from known probability distributions is a ubiquitous task in computational science,
underlying calculations in domains from linguistics to biology and physics. Generative …

Learning trivializing gradient flows for lattice gauge theories

S Bacchio, P Kessel, S Schaefer, L Vaitl - Physical Review D, 2023 - APS
We propose a unifying approach that starts from the perturbative construction of trivializing
maps by Lüscher and then improves on it by learning. The resulting continuous normalizing …

Learning lattice quantum field theories with equivariant continuous flows

M Gerdes, P de Haan, C Rainone, R Bondesan… - SciPost Physics, 2023 - scipost.org
We propose a novel machine learning method for sampling from the high-dimensional
probability distributions of Lattice Field Theories, which is based on a single neural ODE …

Sampling gauge theory using a retrainable conditional flow-based model

A Singha, D Chakrabarti, V Arora - Physical Review D, 2023 - APS
Sampling topological quantities in the Monte Carlo simulation of lattice gauge theory
becomes challenging as we approach the continuum limit (a→ 0) of the theory. In this work …

Parallel Tempered Metadynamics: Overcoming potential barriers without surfing or tunneling

T Eichhorn, G Fuwa, C Hoelbling, L Varnhorst - Physical Review D, 2024 - APS
At fine lattice spacings, Markov chain Monte Carlo simulations of QCD and other gauge
theories with or without fermions are plagued by slow modes that give rise to large …

Simulating first-order phase transition with hierarchical autoregressive networks

P Białas, P Czarnota, P Korcyl, T Stebel - Physical Review E, 2023 - APS
We apply the hierarchical autoregressive neural network sampling algorithm to the two-
dimensional Q-state Potts model and perform simulations around the phase transition at Q …

Multiscale Normalizing Flows for Gauge Theories

R Abbott, MS Albergo, D Boyda, DC Hackett… - arXiv preprint arXiv …, 2024 - arxiv.org
Scale separation is an important physical principle that has previously enabled algorithmic
advances such as multigrid solvers. Previous work on normalizing flows has been able to …

Gauge-equivariant pooling layers for preconditioners in lattice QCD

C Lehner, T Wettig - Physical Review D, 2024 - APS
We demonstrate that gauge-equivariant pooling and unpooling layers can perform as well
as traditional restriction and prolongation layers in multigrid preconditioner models for lattice …

Mutual information of spin systems from autoregressive neural networks

P Białas, P Korcyl, T Stebel - Physical Review E, 2023 - APS
We describe a direct method to estimate the bipartite mutual information of a classical spin
system based on Monte Carlo sampling enhanced by autoregressive neural networks. It …