Gauge Theory Solitons on the Noncommutative Cylinder |
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Authors: | Demidov S. V. Dubovsky S. L. Rubakov V. A. Sibiryakov S. M. |
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Affiliation: | (1) Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia;(2) Institute for Nuclear Research, RAS, Moscow, Russia |
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Abstract: | The solution-generating technique originally suggested for gauge theories on the noncommutative plane is generalized to the noncommutative cylinder. For this, we construct partial isometry operators and a complete set of orthogonal projection operators in the algebra C of the cylinder, and an isomorphism between the free module C and its direct sum CC with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton. |
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Keywords: | noncommutative field theory gauge theory solitons |
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