Holographic Description of Heavy-Quark Potentials in an Inflationary Braneworld Scenario

TL;DR

This paper explores how heavy-quark potentials behave in an inflationary braneworld scenario using gauge/gravity duality, revealing a confining phase influenced by the Hubble parameter and brane tension.

Contribution

It introduces a holographic model of heavy-quark potentials in an inflating braneworld, connecting cosmological parameters with confinement properties.

Findings

Heavy-quark potential exhibits a confining phase.

Confinement depends on the ratio of Hubble parameter to brane tension.

The model links cosmological inflation to gauge theory confinement.

Abstract

We study heavy-quark potential in an inflationary braneworld scenario. The scenario we consider is an (Euclidean) inflating braneworld $AdS_4$ embedded in a static Euclidean $AdS_5$. Using gauge/gravity duality we obtain a confining phase depending on the ratio between the Hubble parameter $H$ in the braneworld and the brane tension $\sigma$.