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 …

Over the last decade, numerical solutions of Quantum Chromodynamics (QCD) using the
technique of lattice QCD have developed to a point where they are beginning to connect …

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 …

The low-energy spectrum and scattering of two-nucleon systems are studied with lattice
quantum chromodynamics using a variational approach. A wide range of interpolating …

Path integral contour deformations have been shown to mitigate sign and signal-to-noise
problems associated with phase fluctuations in lattice field theories. We define a family of …

A bstract The Picard-Lefschetz theory has been attracting much attention as a tool to
evaluate a multi-variable integral with a complex weight, which appears in various important …

Monte Carlo simulations away from half filling suffer from a sign problem that can be
reduced by deforming the contour of integration. Such a transformation, which induces a …

It has recently been argued that noisy intermediate-scale quantum computers may be used
to optimize interpolating operator constructions for lattice quantum field theory (LQFT) …

The path integral formulation of quantum mechanical problems including fermions is often
affected by a severe numerical sign problem. We show how such a sign problem can be …

The Wilson action for Euclidean lattice gauge theory defines a positive-definite transfer
matrix that corresponds to a unitary lattice gauge theory time-evolution operator if …