Quantum Solitons in Affine Toda Field Theories

TL;DR

This paper investigates quantum solitons in affine Toda field theories with imaginary coupling, revealing real mass solutions and quantum corrections, and showing solitons share spectra with fundamental particles.

Contribution

It provides the first analysis of quantum corrections to soliton masses in affine Toda theories with imaginary coupling, demonstrating their stability and spectral equivalence to fundamental particles.

Findings

Solitons have real classical masses despite non-unitary Lagrangian

Quantum corrections to soliton masses are calculated to lowest order in ar

Soliton spectrum matches that of fundamental Toda particles

Abstract

The spectra of $A_r$ affine Toda field theories with imaginary coupling constant, are investigated. Soliton solutions are found, which, despite the non-unitary form of the Lagrangian, have real classical masses and are stable to small perturbations. The quantum corrections to the soliton masses are determined, to lowest order in $\hbar$. The solitons have the same spectrum as the fundamental Toda particles; a feature that is preserved in the quantum theory.