Quantum Corrections to Soliton Energies

Abstract

We review recent progress in the computation of leading quantum corrections to the energies of classical solitons with topological structure, including multi-soliton models in one space dimension and string configurations in three space dimensions. Taking advantage of analytic continuation techniques to efficiently organize the calculations, we show how quantum corrections affect the stability of solitons in the Shifman-Voloshin model, stabilize charged electroweak strings coupled to a heavy fermion doublet, and bind Nielsen-Olesen vortices at the classical transition between type I and type II superconductors.

arXiv comment40 pages, invited review submitted to a special volume on Casimir Physics (K. Milton, ed.)

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Cited by in corpus (12)

• Quantum Effects of Solitons in the Self-Dual Impurity Model
• A Reduced Inner Product for Kink States
• Variational Approach to Excited Fermions on Kinks
• Excited fermions on kinks and the Dirac sea
• Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential
• Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$
• Kink Form Factors
• Vacuum Polarization Energy of a Proca Soliton
• Quantum energies of solitons with different topological charges
• Quantum contribution to domain wall tension from spectral methods
• Examples for BPS solitons destabilized by quantum effects
• Fermionic vacuum polarization induced by a non-Abelian vortex