One-loop corrections to the string tension of the vortex in the Abelian Higgs model

Details One-loop corrections to the string tension of the vortex in the Abelian Higgs model One-loop corrections to the string tension of the vortex in the Abelian Higgs model

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phrvd..78h5008b&link_type=abstract

Physical Review D, vol. 78, Issue 8, id. 085008

Statistics

Computation

9

Classical And Semiclassical Techniques, Extended Classical Solutions, Cosmic Strings, Domain Walls, Texture, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We present an exact numerical computation of the one-loop correction of the string tension for the Nielsen-Olesen vortex in the Abelian Higgs model. The computation proceeds via the computation of the Euclidean Green’s function for the gauge, Higgs, and Faddeev-Popov fields using mode functions, and taking the appropriate trace. Renormalization is an essential part of this computation. It is done by removing leading order contributions from the numerical results so as to make these finite, and to add the divergent parts back, after suitable regularization and renormalization. We encounter and solve some problems which are specific to gauge theories and topological solutions. The corrections to the energy are found to be sizable, but still smaller than the classical energy as long as g2 is smaller than unity.

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