Quantum Stabilization of a Closed Nielsen-Olesen String

Abstract

We revisit the classical instability of closed strings in the Abelian Higgs model. The instability is expressed by a vanishing energy as the torus-like configuration shrinks to zero size. We treat the radius of the torus as a collective coordinate and demonstrate that a quantum mechanical treatment of this coordinate leads to a stabilization of the closed string at small radii.

23 pages, pdflatex, version to be published in Phys Rev D

References in corpus (4)

• Stable charged cosmic strings
• Fermion Energies in the Background of a Cosmic String
• Quantum Energies of Strings in a 2+1 Dimensional Gauge Theory
• Quantum stabilization of Z-strings, a status report on D=3+1 dimensions