Confining potential in a color dielectric medium with parallel domain walls

TL;DR

This paper investigates quark confinement in a color dielectric medium with parallel domain walls, revealing a new confining potential that grows with the separation between the walls, using a QCD_2 model.

Contribution

It introduces a novel confining potential in a color dielectric medium with parallel domain walls within a QCD_2 framework, using a phenomenological approach.

Findings

Discovered a new monotonically increasing confining potential.

Demonstrated quark confinement between domain walls in QCD_2.

Derived solutions from first-order differential equations.

Abstract

We study quark confinement in a system of two parallel domain walls interpolating different color dielectric media. We use the phenomenological approach in which the confinement of quarks appears considering the QCD vacuum as a color dielectric medium. We explore this phenomenon in QCD_2, where the confinement of the color flux between the domain walls manifests, in a scenario where two 0-branes (representing external quark and antiquark) are connected by a QCD string. We obtain solutions of the equations of motion via first-order differential equations. We find a new color confining potential that increases monotonically with the distance between the domain walls.