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Exact Solution of Noncommutative Field Theory in Background Magnetic Fields

E. Langmann·R. J. Szabo·K. Zarembo
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Abstract

We obtain the exact non-perturbative solution of a scalar field theory defined on a space with noncommuting position and momentum coordinates. The model describes non-locally interacting charged particles in a background magnetic field. It is an exactly solvable quantum field theory which has non-trivial 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.

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E. Langmann, R. J. Szabo, K. Zarembo. 2003-03-24. Exact Solution of Noncommutative Field Theory in Background Magnetic Fields. https://doi.org/10.1016/j.physletb.2003.07.020

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