Holographic description of confinement and screening through brane cosmology

TL;DR

This paper explores how brane cosmology geometries influence quark confinement and screening, revealing that inflationary branes induce D-brane systems affecting quark potential and condensates.

Contribution

It introduces a holographic model linking brane cosmology to quark confinement and screening, highlighting the role of D-brane embeddings and cosmological constants.

Findings

Geometry due to inflationary branes induces D3-D7-brane systems.

Cosmological constant relates to D7-brane embedding.

Confinement occurs at low distances, screening at large distances.

Abstract

We compute the holographic quark potential in the realm of brane cosmology. We show that under certain conditions the very geometry due to an inflationary 3-brane induces a D3-D7-brane system. The cosmological constant that appears involved in the original geometry is attributed to the D7-brane position itself in its embedding process. We address the issues of confinement at low distances, screening effects at sufficiently large distances, and quark condensate.