Quantum Effects of Solitons in the Self-Dual Impurity Model

Abstract

We compute the vacuum polarization energies (VPE) of solitons in a self-dual impurity model in which the soliton profiles take the shape of a separated kink-antikink pair. Classically the soliton energies are invariant under the change of a continuous parameter that can be interpreted as the kink-antikink separation. This is not the case for the VPE so that quantum effects decide on the energetically most favorable separation. The considered configurations are classically stable so that its quantum fluctuations have only real frequency eigenvalues. Hence, in contrast to the kink-antikink configuration in the ${\varphi }^4$ model, the VPE is well defined for any value of the separation and we gain insight into the quantum corrections to the kink-antikink potential

11 pages, 5 figures, matches journal version

References in corpus (7)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• The ${\varphi }^4$ model with the BPS preserving defect
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• Quantum Corrections to Soliton Energies
• Spectral Walls at One Loop
• The Two-Loop ${\varphi }^4$ Kink Mass
• Quantum Corrections to Solitons in the ${\Phi }^8$ Model

Cited by in corpus (7)

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• Maxwell-scalar system and scalar field with impurity: novel approach to find nontrivial solutions
• Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential
• Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
• Generalized scalar field models in the presence of impurities
• Compact structures in impurity-doped vacuumless systems
• Kinks scattering in deformed ${\phi }^6$ model