Formation of Bound States of scalar fields in AdS-asymptotic Wormholes

TL;DR

This paper investigates how scalar fields form bound states near an AdS wormhole using WKB approximation, revealing potential barriers that trap high orbital states and facilitate flow between two AdS regions.

Contribution

It introduces a WKB-based analysis of scalar bound states in AdS wormholes within a non-minimal gravity theory, highlighting potential barriers for high orbital states.

Findings

High orbital states encounter potential barriers blocking classical passage.

Bound states are trapped in potential wells near the wormhole.

Flow between the two AdS regions is characterized by these bound states.

Abstract

We use the Wentzel-Kramers-Brillouin (WKB) approximation to study the formation and propagation of bound states in the vicinity of a wormhole in the non-minimal derivative coupling theory of gravity. The wormhole throat connects two Anti-de Sitter spacetimes. We show that when the scalar field lies in high orbital states, the corresponding potential has potential barriers that block the passage of a classical field. We investigate the behaviour of the bound states trapped in the potential wells and provide the flow between the two AdS regions.