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Peer-reviewedCC BY 4.0The European Physical Journal C

Oscillon Floquet modes and the operators that excite them

  • Bilguun Bayarsaikhan1,2
  • Jarah Evslin1,2
  • Sujoy Mahato1,2
  1. 1Institute of Modern Physics
  2. 2University of the Chinese Academy of Sciences
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Abstract

We present the scattering modes of the oscillon, to the first three orders in the Fodor expansion, in terms of elementary functions. In the case of relativistic modes, these results are new. We use them to fully decompose the field and also to analytically invert the decomposition. In quantum field theory, this allows us to show that the corresponding creation and annihilation operators satisfy the usual oscillator algebra, extending to relativistic modes the demonstration that, at a fixed order in the Fodor expansion, a periodic oscillon state exists.

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Cite

BibTeXRIS
BibTeX
@article{bayarsaikhan2026oscillon,
  title = {{Oscillon Floquet modes and the operators that excite them}},
  author = {Bilguun Bayarsaikhan and Jarah Evslin and Sujoy Mahato},
  journal = {The European Physical Journal C},
  year = {2026},
  month = nov,
  doi = {10.1140/epjc/s10052-026-16497-z},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16497-z},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Oscillon Floquet modes and the operators that excite them
AU  - Bilguun Bayarsaikhan
AU  - Jarah Evslin
AU  - Sujoy Mahato
PY  - 2026
DA  - 2026/11/03
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16497-z
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16497-z
AB  - We present the scattering modes of the oscillon, to the first three orders in the Fodor expansion, in terms of elementary functions. In the case of relativistic modes, these results are new. We use them to fully decompose the field and also to analytically invert the decomposition. In quantum field theory, this allows us to show that the corresponding creation and annihilation operators satisfy the usual oscillator algebra, extending to relativistic modes the demonstration that, at a fixed order in the Fodor expansion, a periodic oscillon state exists.
SN  - 1434-6052
ER  -