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. © 2003 Elsevier Science B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 207-299 |
Number of pages | 93 |
Journal | Physics Reports |
Volume | 378 |
Issue number | 4 |
DOIs | |
Publication status | Published - May 2003 |