On the implications of a dilaton in gauge theory

TL;DR

This paper explores how a dilaton field influences confinement in 4D gauge theories, deriving analytical solutions and analyzing quark potential modifications, suggesting dilaton-based models could illuminate the confinement mechanism.

Contribution

It provides analytical confining solutions and applies a semi-relativistic wave equation to quarkonium, demonstrating the relevance of dilaton effective theories to quark confinement.

Findings

Dilaton coupling can generate confinement in gauge theories.

Analytical solutions for confining potentials are derived.

Dilaton effects modify Coulomb potential and support confinement.

Abstract

Some recent work on the implications of a dilaton in 4d gauge theories are revisited. In part I of this paper we see how an effective dilaton coupling to gauge kinetic term provides a simple attractive mechanism to generate confinement. In particular, we put emphasis on the derivation of confining analytical solutions and look into the problem how dilaton degrees of freedom modify Coulom potential and when a confining phase occurs. In part II, we solve the semi-relativistic wave equation, for Dick interquark potential using the Shifted l-expansion technique (SLET) in the heavy quarkonium sector. The results of this phenomenological analysis proves that these effective theories can be relevant to model quark confinement and may shed some light on confinement mechanism.