Asymptotic completeness for the massless spin-boson model

TL;DR

This paper proves asymptotic completeness for generalized massless spin-boson models, extending previous work on ground states and photon bounds, thereby advancing understanding of quantum field interactions.

Contribution

It establishes asymptotic completeness for a broader class of massless spin-boson models, building on recent foundational results.

Findings

Proved asymptotic completeness for generalized models

Extended previous results on ground state existence

Provided new bounds on photon propagation

Abstract

We consider generalized versions of the massless spin-boson model. Building on the recent work in 'Approach to ground state and time-independent photon bound for massless spin-boson models' (arXiv:1109.5582, Annales H. Poincare, 2012) and 'Propagation bounds and soft photon bounds for the massless spin-boson model' (submitted to arXiv jointly with the present paper), we prove asymptotic completeness.