Gauge theory solitons on the noncommutative cylinder

S. V. Demidov; S. L. Dubovsky; V. A. Rubakov; S. M. Sibiryakov

doi:10.1023/B:TAMP.0000015073.02483.03

Gauge theory solitons on the noncommutative cylinder

S. V. Demidov, S. L. Dubovsky, V. A. Rubakov, S. M. Sibiryakov

Research output: Contribution to journal › Article › peer-review

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 A_C of the cylinder, and an isomorphism between the free module A_C ⊕ F_C with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.

Original language	English (US)
Pages (from-to)	269-283
Number of pages	15
Journal	Theoretical and Mathematical Physics
Volume	138
Issue number	2
DOIs	https://doi.org/10.1023/B:TAMP.0000015073.02483.03
State	Published - Feb 2004

Keywords

Gauge theory
Noncommutative field theory
Solitons

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/B:TAMP.0000015073.02483.03

Cite this

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title = "Gauge theory solitons on the noncommutative cylinder",

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 AC of the cylinder, and an isomorphism between the free module AC ⊕ FC with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.",

keywords = "Gauge theory, Noncommutative field theory, Solitons",

author = "Demidov, {S. V.} and Dubovsky, {S. L.} and Rubakov, {V. A.} and Sibiryakov, {S. M.}",

note = "Funding Information: This work was supported in part by the Russian Foundation for Basic Research (Grant Nos. 02-02-17398, 02-02-06514, and 02-02-06515), the Swiss Science Foundation (Grant No. 7SUPJ062239), and INTAS (Grant No. YS 2001-2/128, S. L. D; Grant No. YS 2001-2/141, S. M. S.).",

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language = "English (US)",

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T1 - Gauge theory solitons on the noncommutative cylinder

AU - Demidov, S. V.

AU - Dubovsky, S. L.

AU - Rubakov, V. A.

AU - Sibiryakov, S. M.

N1 - Funding Information: This work was supported in part by the Russian Foundation for Basic Research (Grant Nos. 02-02-17398, 02-02-06514, and 02-02-06515), the Swiss Science Foundation (Grant No. 7SUPJ062239), and INTAS (Grant No. YS 2001-2/128, S. L. D; Grant No. YS 2001-2/141, S. M. S.).

PY - 2004/2

Y1 - 2004/2

N2 - 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 AC of the cylinder, and an isomorphism between the free module AC ⊕ FC with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.

AB - 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 AC of the cylinder, and an isomorphism between the free module AC ⊕ FC with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.

KW - Gauge theory

KW - Noncommutative field theory

KW - Solitons

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SP - 269

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JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

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Gauge theory solitons on the noncommutative cylinder

Abstract

Keywords

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