One-loop corrections to the Nielsen-Olesen vortex: collective oscillations
arXiv:1012.5273 · doi:10.1103/PhysRevD.83.045028
Abstract
We connect the translation modes of the instanton in the two-dimensional Abelian Higgs model with local translations of the vortex of the related model in (3+1) dimensions, the Nielsen-Olesen vortex. In this context these modes describe collective oscillations of the string. We construct the wave function of this mode and we derive, via a virial theorem, an effective action for these oscillations, which is consistent with the action constructed by Nielsen and Olesen using general arguments. We discuss some aspects of renormalization, based on a recent computation of one loop corrections to string tension of the vortex.
18 pages, 1 figure
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