Geodesic
Gauge Theory Solitons on the Noncommutative Cylinder
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 319-337

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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
Mots-clés : solitons. 
@article{TMF_2004_138_2_a8,
     author = {S. V. Demidov and S. L. Dubovskii and V. A. Rubakov and S. M. Sibiryakov},
     title = {Gauge {Theory} {Solitons} on the {Noncommutative} {Cylinder}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {319--337},
     publisher = {mathdoc},
     volume = {138},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a8/}
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S. V. Demidov; S. L. Dubovskii; V. A. Rubakov; S. M. Sibiryakov. Gauge Theory Solitons on the Noncommutative Cylinder. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 319-337. http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a8/