The author reviews in a pedagogical fashion some of the recent developments in lattice
quantum chromodynamics. This review emphasizes explicit examples and illustrations …

This paper reviews various approaches used nowadays in order to understand the structure
of the ground state of the strong interaction theory, the so-called QCD vacuum. In particular …

We present a new method for the numerical simulation of lattice field theory. A hybrid
(molecular dynamics/Langevin) algorithm is used to guide a Monte Carlo simulation. There …

Quantum field theory describes basic physical phenomena over an extremely wide range of
length or energy scales. Quantum fields exist in space and time, which can be approximated …

We present a formalism for carrying out Monte Carlo calculations of field theories with both
boson and fermion degrees of freedom. The basic approach is to integrate out the fermion …

This book introduces the lattice approach to quantum field theory. The spectacular
successes of this technique include compelling evidence that exchange of gauge gluons …

Cellular automata are dynamical systems where space, time, and variables are discrete.
They are shown on two-dimensional examples to be capable of non-numerical simulations …

We discuss two algorithms for the numerical simulation of SU (3) lattice gauge theory with
dynamical quarks. Both are based on the hybrid stochastic method of Duane and Kogut …

We discuss a new method to perform numerical simulations of one-dimensional systems
with fermion and boson degrees of freedom. The method is based on a direct-space …

We discover a quantum Monte Carlo (QMC) method to solve the fermion sign problem in
interacting fermion models by employing a Majorana representation of complex fermions …