Wedge-local fields in integrable models with bound states II. Diagonal S-matrix

TL;DR

This paper constructs wedge-local observables in 1+1D integrable quantum field theories with diagonal S-matrices, extending previous methods to models with bound states, and demonstrates their weak commutativity and Reeh-Schlieder property.

Contribution

It extends the construction of wedge-local observables to models with diagonal S-matrices and bound states, including specific models like Z(N)-Ising and affine Toda theories.

Findings

Constructed wedge-local operators for models with bound states.

Proved weak commutativity of these operators on a dense domain.

Established the Reeh-Schlieder property for models with two particle species.

Abstract

We construct candidates for observables in wedge-shaped regions for a class of 1+1-dimensional integrable quantum field theories with bound states whose S-matrix is diagonal, by extending our previous methods for scalar S-matrices. Examples include the Z(N)-Ising models, the A_N-affine Toda field theories and some S-matrices with CDD factors. We show that these candidate operators which are associated with elementary particles commute weakly on a dense domain. For the models with two species of particles, we can take a larger domain of weak commutativity and give an argument for the Reeh-Schlieder property.