Insight on confinement using scalar field interactions

TL;DR

This paper explores how scalar field interactions can model confinement in particle physics, incorporating gravitational effects and vacuum condensates to refine electron energy calculations.

Contribution

It introduces a novel approach combining scalar fields, gauge interactions, and gravitational effects to better understand confinement and electron energy.

Findings

Derived a perturbative potential for interquark interactions

Incorporated vacuum condensates to improve electron energy estimates

Proposed a scalar field model linking confinement and gravitational effects

Abstract

The scalar field plays an fundamental role in the investigation of confinement property characterising many particle physics models. This is achieved by coupling this particle directly with gauge fields at the lagrangian level. We have adopted the same approach {[}10{]} to determine a potential as a perturbative series in terms of interquark distance. In order to introduce the gravitational effects and inspired from bag models, we implement a scalar field which interacts both with the vacuum and the electron field. In this context and with presence of the vacuum condensates, it is possible to derive a more accurate expression of the electron energy.