Integrable Quantum Field Theories with Unstable Particles

TL;DR

This paper constructs a new class of integrable quantum field theories with resonance poles, linking them to Homogeneous sine-Gordon models and unstable particles, highlighting their unitarity and variable coupling constants.

Contribution

It introduces a novel family of S-matrix theories with resonance poles, conjectured to correspond to specific sine-Gordon models with unstable particles.

Findings

Theories are unitary but not parity invariant.

Resonance poles are linked to unstable particles.

Continuous coupling constants influence mass spectra and resonance positions.

Abstract

A new family of S-matrix theories with resonance poles is constructed and conjectured to correspond to the Homogeneous sine-Gordon theories associated with simply laced compact Lie groups, where some of the resonance poles can be traced to the presence of unstable particles in the spectrum. These theories are unitary in the usual S S^\dagger =1 sense, they are not parity invariant, and they exhibit continuous coupling constants that determine both the mass spectrum of stable particles and the masses and the position of the resonance poles.