Fermion Energies in the Background of a Cosmic String

Details Fermion Energies in the Background of a Cosmic String Fermion Energies in the Background of a Cosmic String

2011-05-05

arxiv.org/abs/1105.1112v2

Phys.Rev.D84:025017,2011

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 6 figures, version accepted for publication in Phys Rev D

Scientific paper

10.1103/PhysRevD.84.025017

We provide a thorough exposition, including technical and numerical details, of previously published results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced version of the standard model. We combine the vacuum polarization energy of fermion zero-point fluctuations and the binding energy of occupied energy levels, which are of the same order in a semi-classical expansion. Populating these bound states assigns a charge to the string. We show that strings carrying fermion charge become stable if the electro-weak bosons are coupled to a fermion that is less than twice as heavy as the top quark. The vacuum remains stable in our model, because neutral strings are not energetically favored. These findings suggests that extraordinarily large fermion masses or unrealistic couplings are not required to bind a cosmic string in the standard model.

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