Journal of Geometry and Symmetry in Physics

Matrix Models, Large $N$ Limits and Noncommutative Solitons

Richard J. Szabo

Full-text: Open access

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.

Article information

Source
J. Geom. Symmetry Phys., Volume 7 (2006), 85-106.

Dates
First available in Project Euclid: 20 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495245676

Digital Object Identifier
doi:10.7546/jgsp-7-2006-85-106

Mathematical Reviews number (MathSciNet)
MR2290125

Zentralblatt MATH identifier
1111.81145

Citation

Szabo, Richard J. Matrix Models, Large $N$ Limits and Noncommutative Solitons. J. Geom. Symmetry Phys. 7 (2006), 85--106. doi:10.7546/jgsp-7-2006-85-106. https://projecteuclid.org/euclid.jgsp/1495245676


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