Lattice vortices induced by noncommutativity

TL;DR

This paper demonstrates that noncommutative geometry, via the Moyal *-product, creates an effective lattice structure in vortex dynamics, providing a new perspective on vortex behavior in noncommutative field theories.

Contribution

It introduces a method to explicitly construct the lattice structure in vortex dynamics induced by noncommutativity using recent asymptotic results.

Findings

Effective lattice structure in vortex dynamics due to noncommutativity

Explicit construction of the lattice structure

Application of recent asymptotic results

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.