Non-Abelian Global Vortices

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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.