Matrix Models, Large N Limits and Noncommutative Solitons

Details Matrix Models, Large N Limits and Noncommutative Solitons Matrix Models, Large N Limits and Noncommutative Solitons

2005-12-06

arxiv.org/abs/hep-th/0512068v1

J.Geom.SymmetryPhys.7:85-106,2006

Physics

High Energy Physics

High Energy Physics - Theory

22 pages; Based on plenary lecture given at the XXIV Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 26 - J

Scientific paper

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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