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


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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Richard J. Szabo. "Matrix Models, Large $N$ Limits and Noncommutative Solitons." J. Geom. Symmetry Phys. 7 85 - 106, 2006.


Published: 2006
First available in Project Euclid: 20 May 2017

zbMATH: 1111.81145
MathSciNet: MR2290125
Digital Object Identifier: 10.7546/jgsp-7-2006-85-106

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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