S-Matrix for AdS from General Boundary QFT

TL;DR

This paper applies the General Boundary Formulation to Anti-de Sitter spacetime, constructing a new type of S-matrix and propagators for Klein-Gordon theory where traditional methods fail.

Contribution

It introduces a novel S-matrix construction within the GBF framework for AdS spacetime, overcoming the limitations of standard approaches.

Findings

Successfully constructs a new S-matrix for AdS

Provides propagators for free and interacting Klein-Gordon theory in AdS

Addresses the problem of defining the S-matrix without asymptotic states

Abstract

The General Boundary Formulation (GBF) is a new framework for studying quantum theories. After concise overviews of the GBF and Schr\"odinger-Feynman quantization we apply the GBF to resolve a well known problem on Anti-deSitter spacetime where due to the lack of temporally asymptotic free states the usual S-matrix cannot be defined. We construct a different type of S-matrix plus propagators for free and interacting real Klein-Gordon theory.