### 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 | |

State | Published - Feb 2004 |

### Fingerprint

### Keywords

- Gauge theory
- Noncommutative field theory
- Solitons

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Contribution to journal › Article

*Theoretical and Mathematical Physics*, vol. 138, no. 2, pp. 269-283. https://doi.org/10.1023/B:TAMP.0000015073.02483.03

}

TY - JOUR

T1 - Gauge theory solitons on the noncommutative cylinder

AU - Demidov, S. V.

AU - Dubovsky, S. L.

AU - Rubakov, V. A.

AU - Sibiryakov, S. M.

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 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.

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 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.

KW - Gauge theory

KW - Noncommutative field theory

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=4043147197&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4043147197&partnerID=8YFLogxK

U2 - 10.1023/B:TAMP.0000015073.02483.03

DO - 10.1023/B:TAMP.0000015073.02483.03

M3 - Article

VL - 138

SP - 269

EP - 283

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 2

ER -