Are Vortex Numbers Preserved?
arXiv:math-ph/0612041 · doi:10.1016/j.geomphys.2008.03.004
Abstract
We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex solutions which are deformed from solutions defined on commutative Euclidean space to the noncommutative one. We construct solutions whose vortex numbers are unchanged under the noncommutative deformation. Another class of noncommutative vortex solutions via a Fock space representation is also studied.
Typos are corrected, some references are added, 20pages, no figure
References in corpus (13)
- Instantons on Noncommutative R^4 and Projection Operators
- Exact Solutions of Multi-Vortices and False Vacuum Bubbles in Noncommutative Abelian-Higgs Theories
- Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
- Noncommutative Vortex Solitons
- Topological Charge of U(1) Instantons
- On Exact Noncommutative BPS Solitons
- Energy Crisis or a New Soliton in the Noncommutative CP(1) Model?
- Nielsen-Olesen vortices in noncommutative space
- Galilean noncommutative gauge theory: symmetries & vortices
- Topological Charge of Noncommutative ADHM Instanton
- Seiberg-Witten Monopole Equations on Noncommutative R^4
- Instanton Number of Noncommutative U(n) gauge theory
- Moving vortices in noncommutative gauge theory