Quantum Instabilities of Solitons

Abstract

We compute the vacuum polarization energies for a couple of soliton models in one space and one time dimensions. These solitons are mappings that connect different degenerate vacua. From the considered sample solitons we conjecture that the vacuum polarization contribution to the total energy leads to instabilities whenever degenerate vacua with different curvatures in field space are accessible to the soliton.

arXiv commentContribution to the proceedings of ICNAAM

References in corpus (10)

• Solitons in systems of coupled scalar fields
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• Could the primordial radiation be responsible for vanishing of topological defects?
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
• One-loop kink mass shifts: a computational approach
• Quantum-induced interactions in the moduli space of degenerate BPS domain walls
• Emerging Translational Variance: Vacuum Polarization Energy of the ${\varphi }^6$ kink
• Spectral Methods for Coupled Channels with a Mass Gap
• Vacuum polarization energy of the Shifman-Voloshin soliton

Cited by in corpus (10)

• Spectral Walls at One Loop
• Spectral walls in antikink-kink scattering in the ${\varphi }^6$ model
• Quantum Corrections to Solitons in the ${\Phi }^8$ Model
• A Reduced Inner Product for Kink States
• Moving Kinks and Their Wave Packets
• (Anti-)Stokes Scattering on Kinks
• Winding number dependence of quantum vortex energies at one-loop
• Kink Form Factors
• Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$
• Removing Tadpoles in a Soliton Sector