PreprintCC BY 4.0arXiv
Unified theory of oscillons and modes
Abstract
We show that an oscillon can be understood as a localized discrete resonant (non-normalizable) mode. Specifically, oscillon in the vacuum arises from the threshold mode, which because of nonlinearity gets localized. Following this idea, we find {\it wobblerons} - nonlinear excitations of kinks, that is, oscillons-kink bound state. Now, the oscillon can also originate in an antibound mode, i.e., a discrete, positive energy but non-normalizable mode.
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BibTeX
@misc{blaschke2026unified,
title = {{Unified theory of oscillons and modes}},
author = {F. Blaschke and T. Romanczukiewicz and K. Slawinska and A. Wereszczynski},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.22680},
eprint = {2606.22680},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.22680},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unified theory of oscillons and modes
AU - F. Blaschke
AU - T. Romanczukiewicz
AU - K. Slawinska
AU - A. Wereszczynski
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2606.22680
UR - https://arxiv.org/abs/2606.22680
AB - We show that an oscillon can be understood as a localized discrete resonant (non-normalizable) mode. Specifically, oscillon in the vacuum arises from the threshold mode, which because of nonlinearity gets localized. Following this idea, we find {\it wobblerons} - nonlinear excitations of kinks, that is, oscillons-kink bound state. Now, the oscillon can also originate in an antibound mode, i.e., a discrete, positive energy but non-normalizable mode.
ER -