We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

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

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 …

Progress in Particle and Nuclear Physics The Confinement Problem in Lattice Gauge
Theory 1 Introduction Page 1 PERGAMON Progress in Particle and Nuclear Physics …

An infinitely long chromoelectric flux tube breaks translation invariance in transverse
directions spontaneously. We argue that the associated Goldstone bosons live effectively in …

We investigate the formulation of fermions in lattice gauge theories, in weak coupling
perturbation theory. It is shown that a lattice fermion formulation without species doubling …

Non-Abelian gauge theories play nowadays a dominant role in particle physics. The
mechanism of spontaneous symmetry breaking has enabled Salam and Weinberg to …

We study the 3-dimensional pure U (1) lattice gauge theory with Villain action which is
related to the 3-dimensional ℤ-ferromagnet by an exact duality transformation (and also to a …

We give a new, elementary proof for the existence of a deconfining transition to a massless
(QED) phase in the four-dimensional U (1) lattice gauge theory and of an intermediate QED …

A bstract In presence of a static pair of sources, the spectrum of low-lying states of whatever
confining gauge theory in D space-time dimensions is described, at large source …