Bosonic-type S-Matrix, Vacuum Instability and CDD Ambiguities

TL;DR

This paper explores a bosonic S-matrix linked to a perturbed massive Ising model, revealing vacuum instability and CDD ambiguities, despite its unphysical appearance in standard quantum field theory.

Contribution

It demonstrates that an unphysical bosonic S-matrix can correspond to a perturbed Ising model with vacuum instability and novel ultraviolet behavior.

Findings

The S-matrix describes a perturbed massive Ising model.

Vacuum stability is compromised by irrelevant operators.

The model exhibits CDD ambiguities affecting its physical interpretation.

Abstract

We consider the simplest bosonic-type S-matrix which is usually regarded as unphysical due to the complex values of the finite volume ground state energy. While a standard quantum field theory interpretation of such a scattering theory is precluded, we argue that the physical situation described by this S-matrix is of a massive Ising model perturbed by a particular set of irrelevant operators. The presence of these operators drastically affects the stability of the original vacuum of the massive Ising model and its ultraviolet properties.