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arXiv · 1012.5273

One-loop corrections to the Nielsen-Olesen vortex: collective oscillations

Jurgen Baacke
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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.

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Jurgen Baacke. 2010-12-23. One-loop corrections to the Nielsen-Olesen vortex: collective oscillations. https://doi.org/10.1103/physrevd.83.045028

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