Duality covariant quantum field theory on noncommutative Minkowski space

André Fischer, Richard J. Szabo

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


We prove that a scalar quantum field theory defined on noncommutative Minkowski spacetime with noncommuting momentum coordinates is covariant with respect to the UV/IR duality which exchanges coordinates and momenta. The proof is based on suitable resonance expansions of charged noncommutative scalar fields in a background electric field, which yields an effective description of the field theory in terms of a coupled complex two-matrix model. The two independent matrix degrees of freedom ensure unitarity and manifest CT-invariance of the field theory. The formalism describes an analytic continuation of the renormalizable Grosse-Wulkenhaar models to Minkowski signature. © 2009 SISSA.

Original languageEnglish
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - 2009


  • Matrix models
  • Non-commutative geometry
  • Renormalization regularization and renormalons.


Dive into the research topics of 'Duality covariant quantum field theory on noncommutative Minkowski space'. Together they form a unique fingerprint.

Cite this