Vortex solutions in the noncommutative torus

Abstract

Vortex configurations in the two-dimensional torus are considered in noncommutative space. We analyze the BPS equations of the Abelian Higgs model. Numerical solutions are constructed for the self-dual and anti-self dual cases by extending an algorithm originally developed for ordinary commutative space. We work within the Fock space approach to noncommutative theories and the Moyal-Weyl connection is used in the final stage to express the solutions in configuration space.

18 pages, 5 figures

References in corpus (7)

• Noncommutative Field Theory
• Nielsen-Olesen vortices in noncommutative space
• Expansion for the solutions of the Bogomolny equations on the torus
• Three lectures on noncommutative field theories
• The Moduli Space of Noncommutative Vortices
• Non BPS noncommutative vortices
• Bogomolny equations for vortices in the noncommutative torus

Cited by in corpus (3)

• Non-Abelian Vortices on the Torus
• Dynamics of critical vortices on the torus and on the plane
• Quantum corrections to vortex masses and energies