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Exact solution of noncommutative field theory in background magnetic fields
KTH, Superseded Departments, Physics.
2003 (English)In: Physics Letters B, ISSN 0370-2693, Vol. 569, no 02-jan, 95-101 p.Article in journal (Refereed) Published
Abstract [en]

We obtain the exact nonperturbative solution of a scalar field theory defined on a space with noncommuting position and momentum coordinates. The model describes nonlocally interacting charged particles in a background magnetic field. It is an exactly solvable quantum field theory which has nontrivial interactions only when it is defined with a finite ultraviolet cutoff. We propose that small perturbations of this theory can produce solvable models with renormalizable interactions.

Place, publisher, year, edition, pages
2003. Vol. 569, no 02-jan, 95-101 p.
Keyword [en]
kontsevich-penner model, spaces
URN: urn:nbn:se:kth:diva-22784DOI: 10.1016/j.physletb.2003.07.020ISI: 000185120700015OAI: diva2:341482
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Langmann, Edwin
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