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Matrix Models, Large N Limits and Noncommutative Solitons

Richard J. Szabo

hep-tharXiv: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.

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