Spectral Methods for Coupled Channels with a Mass Gap

Abstract

We develop a method to compute the vacuum polarization energy for coupled scalar fields with different masses scattering off a background potential in one space dimension. As an example we consider the vacuum polarization energy of a kink-like soliton built from two real scalar fields with different mass parameters.

14 pages, 5 figures, matches journal version, references added (surprisingly many)

References in corpus (4)

• Functional determinants for radial operators
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• Stable charged cosmic strings
• One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods

Cited by in corpus (8)

• Quantum Corrections to Soliton Energies
• Quantum Instabilities of Solitons
• Vacuum polarization energy of the Shifman-Voloshin soliton
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
• Probability Thermodynamics and Probability Quantum Field
• Quantum energies of solitons with different topological charges
• Scattering approach for calculating one-loop effective action and vacuum energy
• Examples for BPS solitons destabilized by quantum effects