Resonances in Lifetimes of AdS Oscillon

TL;DR

This paper investigates resonance phenomena affecting the lifetimes of oscillons in anti-de Sitter space, revealing new resonance structures, associated exponents, and peak bifurcations due to reflected waves.

Contribution

It introduces new resonance structures and bifurcation phenomena in AdS oscillons, extending previous work on their lifetime resonances in curved spacetime.

Findings

Resonance structures depend on curvature radius and core size.

Computed exponents related to resonance peaks.

Observed bifurcation of peaks caused by reflected waves.

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.