Exact Solution of Noncommutative Field Theory in Background Magnetic Fields

Details Exact Solution of Noncommutative Field Theory in Background Magnetic Fields Exact Solution of Noncommutative Field Theory in Background Magnetic Fields

2003-03-10

arxiv.org/abs/hep-th/0303082v2

Phys.Lett. B569 (2003) 95-101

Physics

High Energy Physics

High Energy Physics - Theory

9 Pages AMSTeX; Typos corrected

Scientific paper

10.1016/j.physletb.2003.07.020

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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