The long delayed solution of the Bukhvostov Lipatov model

TL;DR

This paper completes the solution of the Bukhvostov Lipatov model by calculating its physical excitations and S matrix, clarifying previous paradoxes questioning its integrability.

Contribution

It provides the full solution of the model, including excitations and S matrix, resolving longstanding questions about its integrability.

Findings

Computed the physical excitations of the model

Derived the factorized S matrix for these excitations

Resolved paradoxes questioning the model's integrability

Abstract

In this paper I complete the solution of the Bukhvostov Lipatov model by computing the physical excitations and their factorized S matrix. I also explain the paradoxes which led in recent years to the suspicion that the model may not be integrable.