Vacuum polarization energy of the Shifman-Voloshin soliton

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 ${\varphi }^4$ 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 ${\varphi }^4$ models.

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References in corpus (2)

• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• Spectral Methods for Coupled Channels with a Mass Gap

Cited by in corpus (7)

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• Quantum Instabilities of Solitons
• Quantum Effects of Solitons in the Self-Dual Impurity Model
• Quantum Corrections to Solitons in the ${\Phi }^8$ Model
• A Reduced Inner Product for Kink States
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
• Examples for BPS solitons destabilized by quantum effects