Towards an IR finite S-matrix in the flat limit of AdS/CFT

TL;DR

This paper explores constructing IR-finite S-matrices in flat space by using Faddeev-Kulish states derived from the flat limit of AdS/CFT, connecting bulk states with dual CFT operators.

Contribution

It introduces a method to construct IR-finite S-matrices in flat space via the flat limit of AdS/CFT and relates asymptotic states to dual CFT operators.

Findings

Constructed asymptotic states as flat limits of interacting AdS fields.

Reconstructed states in terms of dual CFT operators.

Initiated the exploration of IR-finite S-matrices in flat space.

Abstract

Asymptotic Fock spaces lead to IR divergences in S-matrices. The issue can be traced back to the assumption of asymptotic decoupling, and its relaxation leads to Faddeev-Kulish states and an IR-finite S-matrix. In this paper we initiate the exploration of these states in the context of the flat limit of AdS/CFT. We construct asymptotic states as flat limits of fields that interact with the electro-magnetic field in AdS, and provide a reconstruction in terms of the dual CFT operators.