First and Second Order Vortex Dynamics

Details First and Second Order Vortex Dynamics First and Second Order Vortex Dynamics

2002-04-13

arxiv.org/abs/hep-th/0204111v1

Phys.Rev. D66 (2002) 045016

Physics

High Energy Physics

High Energy Physics - Theory

a rev tex file, 22 pages, no figure

Scientific paper

10.1103/PhysRevD.66.045016

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.

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