Quantum Field Theory on Noncommutative Spaces

Details Quantum Field Theory on Noncommutative Spaces Quantum Field Theory on Noncommutative Spaces

2001-09-20

arxiv.org/abs/hep-th/0109162v4

Phys.Rept.378:207-299,2003

Physics

High Energy Physics

High Energy Physics - Theory

111 pages LaTeX, 6 eps figures; Some material and discussions added for clarity, corrections done, references added; Final ver

Scientific paper

10.1016/S0370-1573(03)00059-0

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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