Resonances in Lifetimes of AdS Oscillon

Abstract

Oscillons are classical oscillatory solutions with very long but finite lifetimes in real scalar field theories with appropriate potentials. An interesting feature is that resonances appear in the lifetimes of the oscillon for the initial size of the oscillon core $R_0$, which was discovered by Honda and Choptuik in the case of Minkowski space. In a previous work, oscillons in the global anti-de Sitter (AdS) space have been constructed, which we abbreviate as AdS oscillons. We present new resonance structures for the curvature radius $L$ and the core size $R_0$ in the lifetime of the AdS oscillon. We then compute exponents associated with the resonance peaks. Finally, we observe the bifurcation of the peaks due to the reflected waves.