Collisions of weakly-bound kinks in the Christ-Lee model

Dorey, Patrick; Gorina, Anastasia; Romańczukiewicz, Tomasz; Shnir, Yakov

Abstract

We investigate soliton collisions in a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the parameter their kinks have an internal structure in the form of two weakly-bound subkinks. We show that for these values of the parameter kink collisions are best understood as an independent sequence of collisions of these subkinks, and that a static mode analysis is not enough to explain resonant structures emerging in this model. We also emphasise the role of radiation and oscillon formation in the collision process.

Citation

Dorey, P., Gorina, A., Romańczukiewicz, T., & Shnir, Y. (2023). Collisions of weakly-bound kinks in the Christ-Lee model. Journal of High Energy Physics, 2023(9), Article 45. https://doi.org/10.1007/jhep09%282023%29045

• Journal Article Type: Article
• Acceptance Date: Aug 21, 2023
• Online Publication Date: Sep 8, 2023
• Publication Date: Sep 8, 2023
• Deposit Date: Jan 8, 2024
• Publicly Available Date: Jan 8, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 9
• Article Number: 45
• DOI: https://doi.org/10.1007/jhep09%282023%29045
• Keywords: Topological Field Theories, Effective Field Theories, Solitons Monopoles and Instantons, Field Theories in Lower Dimensions
• Public URL: https://durham-repository.worktribe.com/output/2066192