Extrinsic Curvature Dependence of Nielsen-Olesen Strings

Details Extrinsic Curvature Dependence of Nielsen-Olesen Strings Extrinsic Curvature Dependence of Nielsen-Olesen Strings

1994-04-22

arxiv.org/abs/hep-th/9404140v2

Nucl.Phys. B428 (1994) 221-232

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex, CCNY-HEP-94-3 Some points in the text are clarified and new references are included

Scientific paper

10.1016/0550-3213(94)90200-3

It is shown how to treat the degrees of freedom of Nielsen-Olesen vortices in the $3+1$-dimensional $U(1)$ higgs model by a collective coordinate method. In the london limit, where the higgs mass becomes infinite, the gauge and goldstone degrees of freedom are integrated out, resulting in the vortex world-sheet action. Introducing an ultraviolet cut-off mimics the effect of finite higgs mass. This action is non-polynomial in derivatives and depends on the extrinsic curvature of the surface. Flat surfaces are stable if the coherence length is less than the penetration depth. It is argued that in the quantum abelian higgs model, vortex world-sheets are dominated by branched polymers.

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