Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-11
Phys.Rev.Lett.106:101601,2011
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 3 figures, version to be published in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.106.101601
We study the quantum stabilization of a cosmic string by a heavy fermion doublet in a reduced version of the standard model. We show that charged strings, obtained by populating fermionic bound state levels, become stable if the electro--weak bosons are coupled to a fermion that is less than twice as heavy as the top quark. This result suggests that extraordinarily large fermion masses or unrealistic couplings are not required to bind a cosmic string in the standard model. Numerically we find the most favorable string profile to be a simple "trough" in the Higgs vev of radius $\approx 10^{-18}\,\mathrm{m}$. The vacuum remains stable in our model, because neutral strings are not energetically favored.
Graham Noah
Quandt Markus
Weigel Herbert
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