Noncommutative field theory
Abstract
This article reviews the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, on both the classical and the quantum level.
 Publication:

Reviews of Modern Physics
 Pub Date:
 October 2001
 DOI:
 10.1103/RevModPhys.73.977
 arXiv:
 arXiv:hepth/0106048
 Bibcode:
 2001RvMP...73..977D
 Keywords:

 11.10.z;
 11.15.q;
 11.25.w;
 02.40.Gh;
 Field theory;
 Gauge field theories;
 Strings and branes;
 Noncommutative geometry;
 High Energy Physics  Theory
 EPrint:
 Revtex, 56 pp, 6 figures. Final version