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PreprintCC BY 4.0arXiv

Quantum vacuum inversion and multi-kink unbinding in the non-degenerate double sine-Gordon model

  • Jonathan Lozano-Mayo
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Abstract

Quantum fluctuations can unbind a composite soliton while the correction to its mass stays small. We show this beyond perturbation theory for the multi-kinks of the non-degenerate double sine-Gordon model. At one loop the vacuum at the centre of the multi-kink becomes the true vacuum at a coupling of order the classical lifting of the vacua. Tensor-network calculations of the lattice theory show that this inversion survives beyond one loop and has a continuum limit, and that the Gaussian effective potential captures it. On finite chains the multi-kink unbinds when the tension of the string of central vacuum between its two halves falls through zero

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Cite

BibTeXRIS
BibTeX
@misc{lozanomayo2026quantum,
  title = {{Quantum vacuum inversion and multi-kink unbinding in the non-degenerate double sine-Gordon model}},
  author = {Jonathan Lozano-Mayo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.24861},
  eprint = {2609.24861},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24861},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum vacuum inversion and multi-kink unbinding in the non-degenerate double sine-Gordon model
AU  - Jonathan Lozano-Mayo
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.24861
UR  - https://arxiv.org/abs/2609.24861
AB  - Quantum fluctuations can unbind a composite soliton while the correction to its mass stays small. We show this beyond perturbation theory for the multi-kinks of the non-degenerate double sine-Gordon model. At one loop the vacuum at the centre of the multi-kink becomes the true vacuum at a coupling of order the classical lifting of the vacua. Tensor-network calculations of the lattice theory show that this inversion survives beyond one loop and has a continuum limit, and that the Gaussian effective potential captures it. On finite chains the multi-kink unbinds when the tension of the string of central vacuum between its two halves falls through zero
ER  -