Proceedings of the International Conference on Geometry, Integrability and Quantization

Geometry of Minimally Deformed Vortices and Domain Walls

Tomasz Dobrowolski

Abstract

In this paper we consider relativistic models that contain in their spectra of solutions extended topological defects. We find the geometrical constrains that describe deformed vortices and domain walls of constant width. Analytical form of these solutions in co-moving coordinates is identical with analytical form of the appropriate static solutions in the laboratory Cartesian coordinates. The geometrical constrains presented in this report describe fully the shape and the evolution of the vortices and domain walls of constant width.

Article information

Source
Proceedings of the Twelfth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2011), 186-196

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815620

Digital Object Identifier
doi:10.7546/giq-12-2011-186-196

Mathematical Reviews number (MathSciNet)
MR3087983

Zentralblatt MATH identifier
1382.83110

Citation

Dobrowolski, Tomasz. Geometry of Minimally Deformed Vortices and Domain Walls. Proceedings of the Twelfth International Conference on Geometry, Integrability and Quantization, 186--196, Avangard Prima, Sofia, Bulgaria, 2011. doi:10.7546/giq-12-2011-186-196. https://projecteuclid.org/euclid.pgiq/1436815620


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