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.

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

References in corpus (7)

• Functional determinants for radial operators
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods
• Fermion Energies in the Background of a Cosmic String
• Quantum Energies of Strings in a 2+1 Dimensional Gauge Theory
• Quantum Corrections to Solitons in the ${\Phi }^8$ Model
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Cited by in corpus (2)

• Variational Approach to Excited Fermions on Kinks
• Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$