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Zbl 1111.81145
Szabo, Richard J.
Matrix models, large $N$ limits and noncommutative solitons. (English)
[J] J. Geom. Symmetry Phys. 7, 85-106 (2006). ISSN 1312-5192; ISSN 1314-5673/e

Summary: 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.

MSC 2000:: *81T75 Noncommutative geometry methods
58B32 Geometry of quantum groups
35Q51 Solitons
81T30 String and superstring theories
81-02 Research monographs (quantum theory)

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Zentralblatt MATH Berlin [Germany]