Vacuum polarization energy of the kinks in the sinh-deformed models

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Date
2021
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Turkish Journal of Physics
Abstract
We compute the one-loop quantum corrections to the kink energies of the sinh-deformed 4 and 6 models in one space and one time dimensions. These models are constructed from the well-known polynomial 4 and 6 models by a deformation procedure. We also compute the vacuum polarization energy to the nonpolynomial function = 1 4 (1 − sinh2 .This potential approaches the model in the limit of small values of the scalar function. These energies are extracted from scattering data for fluctuations about the kink solutions. We show that for certain topological sectors with nonequivalent vacua the kink solutions of the sinh-deformed models are destabilized.
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This is an article published in Turkish Journal of Physics, (2021) 45: 194-206; doi: 10.3906/fiz-2103-32
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Turkish Journal of Physics, (2021) 45: 194-206; doi: 10.3906/fiz-2103-32
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