First and Second Order Vortex Dynamics

Abstract

The low energy dynamics of vortices in selfdual Abelian Higgs theory is of second order in vortex velocity and characterized by the moduli space metric. When Chern-Simons term with small coefficient is added to the theory, we show that a term linear in vortex velocity appears and can be consistently added to the second order expression. We provides an additional check of the first and second order terms by studying the angular momentum in the field theory. We briefly explore other first order term due to small background electric charge density and also the harmonic potential well for vortices given by the moment of inertia.

a rev tex file, 22 pages, no figure

Cited by in corpus (12)

• Vortices and Impurities
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• The Dynamics of Chern-Simons Vortices
• The Kähler Potential of Abelian Higgs Vortices
• Monopoles and Wilson Lines
• Dyonic Instantons in 5-dim Yang-Mills Chern-Simons Theories
• Exact moduli space metrics for hyperbolic vortices
• Vortices and 3 dimensional dualities
• Dyonic Non-Abelian Vortices
• Ricci magnetic geodesic motion of vortices and lumps
• Chern-Simons deformation of vortices on compact domains
• Vortex counting and the quantum Hall effect