Decay amplitudes in two-dimensional QCD

TL;DR

This paper investigates decay amplitudes in two-dimensional QCD, revealing that particle production persists despite many conserved charges, and connects these findings to quantum corrections and four-dimensional theories.

Contribution

It demonstrates that particle production is not fully suppressed in 2D QCD despite conserved charges and relates quantum corrections to higher symmetries.

Findings

Particle production probabilities match numerical data.

Quantum corrections influence conserved charge algebra.

Insights applicable to four-dimensional self-dual Yang-Mills theory.

Abstract

Decay amplitudes for mesons in two-dimensional QCD are discussed. We show that in spite of an infinite number of conserved charges, particle production is not entirely suppressed. This phenomenon is explained in terms of quantum corrections to the combined algebra of higher-conserved and spectrum-generating currents. We predict the qualitative form of particle production probabilities and verify that they are in agreement with numerical data. We also discuss four-dimensional self-dual Yang-Mills theory in the light of our results.