Integrable QFT and Longo-Witten endomorphisms
Marcel Bischoff, Yoh Tanimoto
TL;DR
This paper extends the construction of Borchers triples to massless scattering in integrable quantum field theories, exploring the relationship between massless and massive S-matrices and discussing local net construction.
Contribution
It introduces a method to construct massless Borchers triples from various scattering functions and establishes a link between massless and massive S-matrices.
Findings
Constructed massless Borchers triples from left-left, right-right, and left-right scattering functions.
Identified a correspondence between massless left-right and massive block diagonal S-matrices.
Discussed scenarios for constructing strictly local two-dimensional nets.
Abstract
Our previous constructions of Borchers triples are extended to massless scattering with nontrivial left and right components. A massless Borchers triple is constructed from a set of left-left, right-right and left-right scattering functions. We find a correspondence between massless left-right scattering S-matrices and massive block diagonal S-matrices. We point out a simple class of S-matrices with examples. We study also the restriction of two-dimensional models to the lightray. Several arguments for constructing strictly local two-dimensional nets are presented and possible scenarios are discussed.
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