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Localized zero modes enhance massive Casimir interactions

  • Jose M. Muñoz-Castañeda
  • Inés Cavero-Peláez
  • Gonzalo Sancho-Garrido
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Abstract

Massive quantum fields ordinarily produce strongly screened Casimir interactions at large separation. We show that a normalisable localised zero mode can change this asymptotic behaviour: it opens an additional interaction channel whose decay is parametrically slower than that due to the exchange of massive quantum fluctuations, even though the continuum itself remains gapped. We demonstrate this mechanism analytically and show that the massive quantum fluctuations provide the local dressing of each object's coupling to the zero-mode fluctuations. The sine-Gordon kink provides an exactly solvable realisation in which the Casimir interaction exhibits the predicted zero-mode-dominated large-distance behaviour, with the enhancement localised around the kink.

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Cite

BibTeXRIS
BibTeX
@misc{munozcastaneda2026localized,
  title = {{Localized zero modes enhance massive Casimir interactions}},
  author = {Jose M. Muñoz-Castañeda and Inés Cavero-Peláez and Gonzalo Sancho-Garrido},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.05530},
  eprint = {2607.05530},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.05530},
}
RIS
TY  - UNPB
TI  - Localized zero modes enhance massive Casimir interactions
AU  - Jose M. Muñoz-Castañeda
AU  - Inés Cavero-Peláez
AU  - Gonzalo Sancho-Garrido
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2607.05530
UR  - https://arxiv.org/abs/2607.05530
AB  - Massive quantum fields ordinarily produce strongly screened Casimir interactions at large separation. We show that a normalisable localised zero mode can change this asymptotic behaviour: it opens an additional interaction channel whose decay is parametrically slower than that due to the exchange of massive quantum fluctuations, even though the continuum itself remains gapped. We demonstrate this mechanism analytically and show that the massive quantum fluctuations provide the local dressing of each object's coupling to the zero-mode fluctuations. The sine-Gordon kink provides an exactly solvable realisation in which the Casimir interaction exhibits the predicted zero-mode-dominated large-distance behaviour, with the enhancement localised around the kink.
ER  -