Non-Abelian Global Vortices

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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28 pages, 6 figures

Scientific paper

10.1016/j.nuclphysb.2009.06.013

We study topologically stable non-Abelian global vortices in the U(N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behaviour of vortices in two limits in which masses of traceless or trace parts of massive bosons are much larger than the others. In the limit that the traceless parts are much heavier, we find a somewhat bizarre vortex solution carrying a non-integer U(1) winding number 1/\sqrt{N} which is irrational in general.

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