Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization

Abstract

These notes comprise the second part of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal with the quantum field theory. Topics covered include an investigation of the symmetries of quantum gauge theory on the noncommutative torus within the path integral formalism, the derivation of the exact expression for the vacuum amplitude, and the classification of instanton contributions. A section dealing with a new, exact combinatorial solution of gauge theory on a two-dimensional fuzzy torus is also included.

33 pages, 3 figures, uses svmult.cls; Based on invited lectures given by the second author at the ``International Workshop on Quantum Field Theory and Noncommutative Geometry'', November 26-30 2002, Tohoku University, Sendai, Japan; To be published in the proceedings by Springer-Verlag as Lecture Notes in Physics

References in corpus (1)

• Open Wilson Lines and Group Theory of Noncommutative Yang-Mills Theory in Two Dimensions

Cited by in corpus (7)

• Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
• Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model
• Morita Duality and Noncommutative Wilson Loops in Two Dimensions
• Localization for Yang-Mills Theory on the Fuzzy Sphere
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
• D-Branes in Noncommutative Field Theory
• Instantons, Fluxons and Open Gauge String Theory