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Vacuum polarization energy of the Shifman-Voloshin soliton

arXiv:1806.07584 · doi:10.1016/j.physletb.2018.07.027

Abstract

We compute the vacuum polarization energy of soliton configurations in a model with two scalar fields in one space dimension using spectral methods. The second field represents an extension of the conventional $ϕ^4$ kink soliton model. We find that the vacuum polarization energy destabilizes the soliton except when the fields have identical masses. In that case the model is equivalent to two independent $ϕ^4$ models.

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