Oscillons and quasi-breathers in D+1 dimensions

Saffin, Paul M.; Tranberg, Anders

Abstract

We study oscillons in D+1 space-time dimensions using a spherically symmetric ansatz. From Gaussian initial conditions, these evolve by emitting radiation, approaching quasi-breathers'', near-periodic solutions to the equations of motion. Using a truncated mode expansion, we numerically determine these quasi-breather solutions in 2<D<6 and the energy dependence on the oscillation frequency. In particular, this energy has a minimum, which in turn depends on the number of spatial dimensions. We study the time evolution and lifetimes of the resulting quasi-breathers, and show how generic oscillons decay into these before disappearing altogether. We comment on the apparent absence of oscillons for D>5 and the possibility of stable solutions for D<2.

Citation

Saffin, P. M., & Tranberg, A. (2007). Oscillons and quasi-breathers in D+1 dimensions. Journal of High Energy Physics, 2007(1), https://doi.org/10.1088/1126-6708/2007/01/030

• Journal Article Type: Article
• Acceptance Date: Dec 13, 2006
• Publication Date: Jan 4, 2007
• Deposit Date: Apr 21, 2017
• Publicly Available Date: Apr 21, 2017
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2007
• Issue: 1
• DOI: https://doi.org/10.1088/1126-6708/2007/01/030
• Public URL: https://nottingham-repository.worktribe.com/output/703941
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2007/01/030/meta
• Contract Date: Apr 21, 2017