Duality in scalar field theory on noncommutative phase spaces
2002 (English)In: Physics Letters B, ISSN 0370-2693, Vol. 533, no 02-jan, 168-177 p.Article in journal (Refereed) Published
We describe a novel duality symmetry of Phi(2n)(4)-theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier transformation and scaling. It is an extension, to interactions defined with a star-product, of that which arises in quantum field theories of non-interacting scalar particles coupled to a constant background electromagnetic field. The dual models are in general of the same original form but with transformed coupling parameters, while in certain special cases all parameters are essentially unchanged. Using a particular regularization we show, to all orders of perturbation theory, that this duality also persists at the quantum level. We also point out various other properties of this class of noncommutative field theories.
Place, publisher, year, edition, pages
2002. Vol. 533, no 02-jan, 168-177 p.
IdentifiersURN: urn:nbn:se:kth:diva-21551ISI: 000175622400021OAI: oai:DiVA.org:kth-21551DiVA: diva2:340249
QC 201005252010-08-102010-08-10Bibliographically approved