Matrix Models, Large N Limits and Noncommutative Solitons
arXiv:hep-th/0512068
Abstract
A survey of the interrelationships between matrix models and field theories on the noncommutative torus is presented. The discretization of noncommutative gauge theory by twisted reduced models is described along with a rigorous definition of the large N continuum limit. The regularization of arbitrary noncommutative field theories by means of matrix quantum mechanics and its connection to noncommutative solitons is also discussed.
22 pages; Based on plenary lecture given at the XXIV Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 26 - July 2 2005. To be published in Journal of Geometry and Symmetry in Physics