Glueball spectrum and hadronic processes in low-energy QCD

TL;DR

This paper derives a low-energy effective theory of QCD using a recently proved mapping theorem, connecting solutions of scalar field theory to Yang-Mills equations, and explores the properties of glueballs and mesons.

Contribution

It introduces a novel approach to derive low-energy QCD from a scalar field theory via a mapping theorem, leading to a unified description involving a single constant.

Findings

Computed glue-quark interactions at leading order

Calculated properties of $\sigma$ and $\eta-\eta'$ mesons

Unified description of strong interactions through a single constant

Abstract

Low-energy limit of quantum chromodynamics (QCD) is obtained using a mapping theorem recently proved. This theorem states that, classically, solutions of a massless quartic scalar field theory are approximate solutions of Yang-Mills equations in the limit of the gauge coupling going to infinity. Low-energy QCD is described by a Yukawa theory further reducible to a Nambu-Jona-Lasinio model. At the leading order one can compute glue-quark interactions and one is able to calculate the properties of the $\sigma$ and $\eta-\eta'$ mesons. Finally, it is seen that all the physics of strong interactions, both in the infrared and ultraviolet limit, is described by a single constant $\Lambda$ arising in the ultraviolet by dimensional transmutation and in the infrared as an integration constant.