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 (23)

• Cosmic strings
• Semilocal and Electroweak Strings
• Large parallel cosmic string simulations: New results on loop production
• Cosmic Strings and Superstrings
• Fermions Destabilize Electroweak Strings
• Vorton Existence and Stability
• On the Behaviour and Stability of Superconducting Currents
• Cosmic Strings are Current-Carrying
• Zero modes of fermions with general mass matrix
• Fermionic Vacuum Energy from a Nielsen-Olesen Vortex
• Neutrino Zero Modes on Electroweak Strings
• Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions
• The Dirac Sea Contribution To The Energy Of An Electroweak String
• Neutrino Zero Modes and Stability of Electroweak Strings
• Nonabelian Bosonic Currents in Cosmic Strings
• Stable charged cosmic strings
• Cosmic String Current Stability
• Generic Current-Carrying 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
• Gauge Invariance and Vacuum Energies of Non-Abelian String-Configurations
• Vacuum Energies of Non--Abelian String--Configurations in 3+1 Dimensions

Cited by in corpus (5)

• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Stable Cosmic Vortons
• Quantum Stabilization of Cosmic Strings
• Quantum stabilization of a hedgehog type of cosmic string