Lattice vortices induced by noncommutativity

Abstract

We show that the Moyal *-product on the algebra of fields induces an effective lattice structure on vortex dynamics which can be explicitly constructed using recent asymptotic results.

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References in corpus (8)

• Noncommutative Solitons
• Noncommutative Vortex Solitons
• Multistable Solitons in Higher-Dimensional Cubic-Quintic Nonlinear Schroedinger Lattices
• Families of Vortex Solitons in Periodic Media
• On Noncommutative Multi-solitons
• Fuzzy Instantons
• The Moduli Space of Noncommutative Vortices
• The Stability of Noncommutative Scalar Solitons

Cited by in corpus (2)

• On deformed quantum mechanical schemes and $\star$-value equations based on the space-space noncommutative Heisenberg-Weyl group
• A Twisted ${\mathcal{C}}^{\star }$-algebra formulation of Quantum Cosmology with application to the Bianchi I model