Quantum field theory on noncommutative spaces

Research output: Contribution to journalLiterature reviewpeer-review

1237 Citations (Scopus)


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 languageEnglish
Pages (from-to)207-299
Number of pages93
JournalPhysics Reports
Issue number4
Publication statusPublished - May 2003


Dive into the research topics of 'Quantum field theory on noncommutative spaces'. Together they form a unique fingerprint.

Cite this