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Exact solution of quantum field theory on noncommutative phase spaces
KTH, Superseded Departments, Physics.
2004 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 1, 017- p.Article in journal (Refereed) Published
Abstract [en]

We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal star-product. Explicit results are presented for all Green's functions in arbitrary even spacetime dimensionality. Various scaling limits of the field theory are analysed non-perturbatively and the renormalizability of each limit examined. A supersymmetric extension of the field theory is also constructed in which the supersymmetry transformations are parametrized by differential operators in an in finite-dimensional noncommutative algebra.

Place, publisher, year, edition, pages
2004. no 1, 017- p.
Keyword [en]
renormalization regularization and renormalons, non-commutative geometry, matrix models, kontsevich-penner model, matrix models, interacting fermions, landau problem, mechanics, limit, superspace, plane
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-23281DOI: 10.1088/1126-6708/2004/01/017ISI: 000220505300017ScopusID: 2-s2.0-23144462213OAI: diva2:341979
QC 20100525 QC 20111102Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-11-02Bibliographically approved

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