Abstract
Hertzberg has constructed a quantum oscillon that decays into pairs of relativistic mesons with a power much greater than the radiation from classical oscillon decay. This result is often construed as a proof that quantum oscillons decay quickly, and so are inconsequential. We apply a construction similar to Hertzberg’s to the quantum kink. Again it leads to a rapid decay via the emission of relativistic mesons. However, we find that this is the decay of a squeezed kink state to a stable kink state, and so it does not imply that the quantum kink is unstable. We then consider a time-dependent solution, which may be an oscillon, and we see that the argument proceeds identically.
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Acknowledgments
JE is supported by NSFC MianShang grants 11875296 and 11675223 and the CAS Key Research Program of Frontier Sciences grant QYZDY-SSW-SLH006. TR and AW were supported by the Polish National Science Centre, grant NCN 2019/35/B/ST2/00059. AW thanks Zoltan Bajnok for discussion.
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Evslin, J., Romańczukiewicz, T. & Wereszczyński, A. Quantum oscillons may be long-lived. J. High Energ. Phys. 2023, 182 (2023). https://doi.org/10.1007/JHEP08(2023)182
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DOI: https://doi.org/10.1007/JHEP08(2023)182