In recent years, machine learning has emerged as a powerful computational tool and novel
problem-solving perspective for physics, offering new avenues for studying strongly …

The Monte Carlo evaluation of path integrals is one of a few general purpose methods to
approach strongly coupled systems. It is used in all branches of physics, from QCD and …

The phase diagram of strong interactions in nature at finite temperature and chemical
potential remains largely theoretically unexplored due to inadequacy of Monte-Carlo–based …

The computation of observables in general interacting theories, be them quantum
mechanical, field, gauge or string theories, is a non-trivial problem which in many cases can …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

These lecture notes contain an elementary introduction to lattice QCD at nonzero chemical
potential. Topics discussed include chemical potential in the continuum and on the lattice; …

A bstract We consider a hybrid Monte Carlo algorithm which is applicable to lattice theories
defined on Lefschetz thimbles. In the algorithm, any point (field configuration) on a thimble is …

A bstract We point out that Monte Carlo simulations of theories with severe sign problems
can be profitably performed over manifolds in complex space different from the one with …

The complex Langevin method is a promising approach to the complex-action problem
based on a fictitious time evolution of complexified dynamical variables under the influence …

We review the theory and applications of complex stochastic quantization to the quantum
many-body problem. Along the way, we present a brief overview of a number of ideas that …