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arXiv · hep-th/0109162

Quantum Field Theory on Noncommutative Spaces

Richard J. Szabo
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Abstract

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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Richard J. Szabo. 2003-01-23. Quantum Field Theory on Noncommutative Spaces. https://doi.org/10.1016/s0370-1573(03)00059-0

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