Exact solution of noncommutative field theory in background magnetic fields

E. Langmann; R. J. Szabo; K. Zaremb

doi:10.1016/j.physletb.2003.07.020

Exact solution of noncommutative field theory in background magnetic fields

E. Langmann, R. J. Szabo, K. Zaremb

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Abstract

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. © 2003 Published by Elsevier B.V.

Original language	English
Pages (from-to)	95-101
Number of pages	7
Journal	Physics Letters B
Volume	569
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2003.07.020
Publication status	Published - 4 Sept 2003

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10.1016/j.physletb.2003.07.020

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title = "Exact solution of noncommutative field theory in background magnetic fields",

abstract = "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. {\textcopyright} 2003 Published by Elsevier B.V.",

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AU - Szabo, R. J.

AU - Zaremb, K.

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N2 - 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. © 2003 Published by Elsevier B.V.

AB - 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. © 2003 Published by Elsevier B.V.

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VL - 569

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EP - 101

JO - Physics Letters B

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ER -

Exact solution of noncommutative field theory in background magnetic fields

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