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Quantum Field Theory on Noncommutative Spaces

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Author: Richard J. Szabo
Url: http://xxx.lanl.gov/abs/hep-th/0109162
Format: Ps, Pdf
Category: Mathematical Physics
Pages: 111
Clicks: 416

Description
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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