Refer page-24 in http://arxiv.org/abs/1010.0443v3(adsbygoogle = window.adsbygoogle || []).push({});

Eq-6.19 is supposed to be the Lagrangian of Abelian-Higgs models. Eg-6.19 is clearly a conserved current of U(1) symmetry. But I cant show how eq-6.21 is a conserved vortex current.

Note: The last term in the Lagrangian is not the usual [itex]F_{\mu \nu} F^{\mu \nu}[/itex].

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# Abelian Higgs model and conserved vortex current

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