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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.Comment: 14 pages, 5 figures, matches journal version, references added (surprisingly many

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