Spectral Walls at One Loop

Abstract

A spectral wall is a surface in a moduli space of classically BPS solitons where an internal excitation crosses the continuum mass threshold. It has recently been shown that spectral walls in classical field theory repel solitons whose corresponding internal excitations are excited. We investigate, for the first time, the fate of spectral walls in a quantum theory, calculating the instantaneous acceleration of a wave packet of classically BPS antikinks in the presence of an impurity. We find that, in the quantum theory, the antikinks are repelled even when the bound mode is not excited. Perhaps due to this repulsive force, the dramatic classical effects of the spectral wall are not seen in our quantum calculation.

34 pages, 9 figures

References in corpus (9)

• Spectral Walls in Soliton Collisions
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• The ${\varphi }^4$ model with the BPS preserving defect
• Could the primordial radiation be responsible for vanishing of topological defects?
• Two-Loop Scalar Kinks
• Spectral walls in multifield kink dynamics
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• Analytical computation of quantum corrections to non-topological soliton (bright soliton) within the saddle-point approximation

Cited by in corpus (5)

• Fermionic spectral walls in kink collisions
• Spontaneous Emission from Excited Quantum Kinks
• Quantum Effects of Solitons in the Self-Dual Impurity Model
• A Reduced Inner Product for Kink States
• Kink Form Factors