Gauge theory solitons on the noncommutative cylinder

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

    Research output: Contribution to journalArticle

    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 languageEnglish (US)
    Pages (from-to)269-283
    Number of pages15
    JournalTheoretical and Mathematical Physics
    Volume138
    Issue number2
    DOIs
    StatePublished - Feb 2004

    Fingerprint

    Gauge Theory
    gauge theory
    Solitons
    solitary waves
    modules
    Partial Isometry
    operators
    Module
    isomorphism
    Orthogonal Projection
    Projection Operator
    Isomorphism
    algebra
    projection
    Perturbation
    perturbation
    Algebra
    Evaluate
    Operator

    Keywords

    • Gauge theory
    • Noncommutative field theory
    • Solitons

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Demidov, S. V., Dubovsky, S. L., Rubakov, V. A., & Sibiryakov, S. M. (2004). Gauge theory solitons on the noncommutative cylinder. Theoretical and Mathematical Physics, 138(2), 269-283. https://doi.org/10.1023/B:TAMP.0000015073.02483.03

    Gauge theory solitons on the noncommutative cylinder. / Demidov, S. V.; Dubovsky, S. L.; Rubakov, V. A.; Sibiryakov, S. M.

    In: Theoretical and Mathematical Physics, Vol. 138, No. 2, 02.2004, p. 269-283.

    Research output: Contribution to journalArticle

    Demidov, SV, Dubovsky, SL, Rubakov, VA & Sibiryakov, SM 2004, 'Gauge theory solitons on the noncommutative cylinder', Theoretical and Mathematical Physics, vol. 138, no. 2, pp. 269-283. https://doi.org/10.1023/B:TAMP.0000015073.02483.03
    Demidov, S. V. ; Dubovsky, S. L. ; Rubakov, V. A. ; Sibiryakov, S. M. / Gauge theory solitons on the noncommutative cylinder. In: Theoretical and Mathematical Physics. 2004 ; Vol. 138, No. 2. pp. 269-283.
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