Vortex solutions in the noncommutative torus

GUSTAVO LOZANO, DIEGO MARQUÉS, FIDEL SCHAPOSNIK

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

JHEP

Año: 2006 p. 1 - 25

1029-8479

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.