The current understanding of the behavior of quantum chromodynamics at finite temperature
is presented. Perturbative methods are used to explore the high-temperature dynamics. At …

This article reviews the generalization of field theory to space-time with noncommuting
coordinates, starting with the basics and covering most of the active directions of research …

This book is a modern pedagogic introduction to the ideas and techniques of quantum field
theory. After a brief overview of particle physics and a survey of relativistic wave equations …

The last ten years have seen rapid advances in the understanding of differentiable four-
manifolds, not least of which has been the discovery of new'exotic'manifolds. These results …

There has been a revolution in nonlinear physics over the past twenty years. Two great
discoveries, each of which, incidentally, was made with the aid of the computer experiment …

Advances in mathematics and physics have often occurred together. The development of
Newton's theory of mechanics and the simultaneous development of the techniques of …

These lecture notes are intended as an introduction to the methods of classification of
holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as …

The authors review the theory and phenomenology of instantons in quantum
chromodynamics (QCD). After a general overview, they provide a pedagogical introduction …

This book provides a broad introduction to gauge field theories formulated on a space-time
lattice, and in particular of QCD. It serves as a textbook for advanced graduate students, and …

The geometric Langlands program can be described in a natural way by compactifying on a
Riemann surface C a twisted version of N= 4 super Yang-Mills theory in four dimensions …