English

Non-Abelian Global Vortices

High Energy Physics - Phenomenology 2009-08-06 v1 High Energy Physics - Theory Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0903.1528,
  title  = {Non-Abelian Global Vortices},
  author = {Minoru Eto and Eiji Nakano and Muneto Nitta},
  journal= {arXiv preprint arXiv:0903.1528},
  year   = {2009}
}

Comments

28 pages, 6 figures

R2 v1 2026-06-21T12:19:47.558Z