On the dilaton and the axion potentials

TL;DR

This paper extends the VVW model of QCD to include dilaton and axion potentials, introduces a new interquark potential inspired by string theory, and compares it to existing models.

Contribution

It develops a combined dilaton-axion potential within an extended QCD model and proposes a novel interquark potential based on string-inspired perturbation series.

Findings

Derived new dilaton and axion potentials from an extended QCD model.

Proposed a string-inspired interquark potential that includes odd powers of distance.

Showed the new potential shares features with the Bian-Huang-Shen potential.

Abstract

We extend the Vecchia-Veneziano-Witten (VVW) model of QCD in the chiral limit and for large colour number $N_c$, by introducing an effective dilaton-gluon coupling from which we derive both the axion and dilaton potentials. Furthermore, using a string inspired model, we determine a new interquark potential as a perturbative series in terms of the interquark distance $r$. Our potential goes beyond Dick one obtained in [8] and shares the same features as the Bian-Huang-Shen potential $V_{BHS}$ which depends only on odd powers of $r$ [22].