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Dynamics of Non-Abelian Vortices

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arxiv 1105.1547 v1 pith:NS4W4YVP submitted 2011-05-08 hep-th hep-phmath-phmath.MP

Dynamics of Non-Abelian Vortices

classification hep-th hep-phmath-phmath.MP
keywords vorticesnon-abelianscatteringdynamicsenergyinternalmoduliorientations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The scattering is studied using moduli space metric for well-separated vortices of non-Abelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs model, dynamics of non-Abelian vortices has a lot of new features; The kinetic energy in real space can be transfered to that of internal orientational moduli and vice versa, the energy and charge transfer between two vortices, the scattering angle of collisions with a fixed impact parameter depends on the internal orientations, and some resonances appear due to synchronization of the orientations. Scattering of dyonic non-Abelian vortices in a mass deformed theory is also studied. We find a bound state of two vortices moving along coils around a circle, like a loop of a phone code.

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    Vortex–antivortex collisions in the deep type-II Abelian-Higgs model show multi-bounce windows embedded in annihilation regions, driven by a Feshbach resonant mode.