Quantum corrections to solitons in the 
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 model

Takyi, I.; Matfunjwa, M. K.; Weigel, H.

doi:10.1103/physrevd.102.116004

Cited by 15 publications

(9 citation statements)

References 22 publications

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“…Recent studies in the ϕ model [14,15] revealed that the VPE destabilized the kink as the kink produces different curvatures for the quantum fluctuations at both positive and negative spatial infinity. These instabilities of the kink have also been observed in the φ 8 model [16].…”

Section: Introductionsupporting

confidence: 63%

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

Takyi¹,

Barnes²,

Ackora-Prah³

2021

Turk J Phys

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We compute the one-loop quantum corrections to the kink energies of the sinh-deformed φ 4 and ϕ 6 models in one space and one time dimensions. These models are constructed from the well-known polynomial φ 4 and ϕ 6 models by a deformation procedure. We also compute the vacuum polarization energy to the non-polynomial function. This potential approaches the φ 4 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 non-equivalent vacua the kink solutions of the sinh-deformed models are destabilized.

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Section: Introductionsupporting

confidence: 63%

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

Takyi¹,

Barnes²,

Ackora-Prah³

2021

Turk J Phys

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show abstract

“…Recent studies in the ϕ 6 model [14,15] revealed that the VPE destabilized the kink as the kink produces different curvatures for the quantum fluctuations at both positive and negative spatial infinity. These instabilities of the kink have also been observed in the φ 8 model [16].…”

Section: Introductionsupporting

confidence: 63%

Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models

Takyi¹,

Barnes²,

Ackora-Prah³

2020

Preprint

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We compute the one-loop quantum corrections to the kink energies of the sinh-deformed φ 4 and ϕ 6 models in one space and one time dimensions. These models are constructed from the well-known polynomial φ 4 and ϕ 6 models by a deformation procedure. We also compute the vacuum polarization energy to the non-polynomial function U (φ) = 1 4 (1 − sinh 2 φ) 2 . This potential approaches the φ 4 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 non-equivalent vacua the kink solutions of the sinh-deformed models are destabilized.

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“…+n (kρ), H (1) (kρ) (57) that parameterize the outgoing asymptotic fields with (radial) momentum k can be used to set up the scattering problem via the matrix generalization…”

Section: Choice Of Gauge and The Dirac Equationmentioning

confidence: 99%

Quantum Corrections to Soliton Energies

Graham,

Weigel

2022

Preprint

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We review recent progress in the computation of leading quantum corrections to the energies of classical solitons with topological structure, including multi-soliton models in one space dimension and string configurations in three space dimensions. Taking advantage of analytic continuation techniques to efficiently organize the calculations, we show how quantum corrections affect the stability of solitons in the Shifman-Voloshin model, stabilize charged electroweak strings coupled to a heavy fermion doublet, and bind Nielsen-Olesen vortices at the classical transition between type I and type II superconductors.

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Quantum corrections to solitons in the ϕ8 model

Cited by 15 publications

References 22 publications

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

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

Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models

Quantum Corrections to Soliton Energies

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