Scattering bound states in AdS

TL;DR

This paper explores bound state scattering in AdS space using Witten diagrams, deriving Mellin amplitudes for scalar fields and revealing that some tree-level diagrams resemble loop diagrams in structure.

Contribution

It provides the first analysis of bound state scattering in AdS at the level of Witten diagrams with explicit Mellin amplitude formulas for scalar fields.

Findings

Derived closed-form Mellin amplitudes for scalar bound state diagrams.

Found that certain tree-level diagrams mimic loop diagram structures.

Revealed interesting behaviors in the Mellin amplitudes of bound state diagrams.

Abstract

We initiate the study of bound state scattering in AdS space at the level of Witten diagrams. For concreteness, we focus on the case with only scalar fields and analyze several basic diagrams which more general diagrams reduce to. We obtain closed form expressions for their Mellin amplitudes with arbitrary conformal dimensions, which exhibit interesting behavior. In particular, we observe that certain tree-level bound state Witten diagrams have the same structure as loop diagrams in AdS.