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Quantum Field Theory on Noncommutative Spaces

Author: Richard J. Szabo
Url: http://front.math.ucdavis.edu/hep-th/0109162
Format: Ps, Pdf, Dvi, TeX
Category: Quantum Field Theory
Clicks: 2202

A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang-Mills theory. Some of the more mathematical ideas and techniques of noncommutative geometry are also briefly explained.

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