Lectures on Two-Dimensional Noncommutative Gauge Theory 1. Classical Aspects

Details Lectures on Two-Dimensional Noncommutative Gauge Theory 1. Classical Aspects Lectures on Two-Dimensional Noncommutative Gauge Theory 1. Classical Aspects

2003-02-25

arxiv.org/abs/hep-th/0302195v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages AMSTeX; Based on invited lectures given by the second author at the ``2nd Summer School in Modern Mathematical Physic

Scientific paper

These notes comprise the first of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. This first part deals solely with the classical theory on a noncommutative torus. Topics covered include a mathematical introduction to the geometry of the noncommutative torus, the definition, properties and symmetries of noncommutative Yang-Mills theory, and the complete solution of the classical field equations.

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