Matrix models, large N limits and noncommutative solitons

Richard J. Szabo

doi:10.7546/jgsp-7-2006-85-106

Matrix models, large N limits and noncommutative solitons

Richard J. Szabo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	85-106
Number of pages	22
Journal	Journal of Geometry and Symmetry in Physics
Volume	7
DOIs	https://doi.org/10.7546/jgsp-7-2006-85-106
Publication status	Published - 2006

ASJC Scopus subject areas

Mathematical Physics
Geometry and Topology

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title = "Matrix models, large N limits and noncommutative solitons",

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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AB - 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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Matrix models, large N limits and noncommutative solitons

Abstract

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