On the Holographic S-matrix

TL;DR

This paper discusses a holographic approach to the flat space S-matrix, proposing that bulk information is encoded on the boundary and exploring the nature of interpolating fields within a quantum Boltzmannian framework.

Contribution

It introduces a boundary encoding perspective for the holographic flat space S-matrix and suggests a novel quantum Boltzmannian structure for interpolating fields.

Findings

All bulk S-matrix information can be encoded on the boundary.

Interpolating fields may reside in a quantum Boltzmannian Hilbert space.

The approach provides insights into locality and boundary data in holography.

Abstract

The recent proposal by Polchinski and Susskind for the holographic flat space S-matrix is discussed. By using Feynman diagrams we argue that in principle all the information about the S-matrix in the interacting field theory in the bulk of the anti-de Sitter space is encoded into the data on the timelike boundary. The problem of locality of interpolating field is discussed and it is suggested that the interpolating field lives in a quantum Boltzmannian Hilbert space.