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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2004 Volume 138, Number 2, Pages 319–337 (Mi tmf18)

This article is cited in 1 paper

Gauge Theory Solitons on the Noncommutative Cylinder

S. V. Demidova, S. L. Dubovskiib, V. A. Rubakovb, S. M. Sibiryakovb

a Moscow Institute of Physics and Technology
b Institute for Nuclear Research, Russian Academy of Sciences

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 ${\mathcal A}_{\text{\rm C}}$ of the cylinder, and an isomorphism between the free module ${\mathcal A}_{\text{\rm C}}$ and its direct sum ${\mathcal A}_{\text{\rm C}}\oplus{\mathcal F}_{\text{\rm C}}$ with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.

Keywords: noncommutative field theory, gauge theory, solitons.

Received: 10.02.2003

DOI: 10.4213/tmf18


 English version:
Theoretical and Mathematical Physics, 2004, 138:2, 269–283

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