Dilatonic Wilson Loops

TL;DR

This paper investigates dilatonic corrections to the static potential in gauge theories via string theory, revealing confining behavior and Lüscher-type terms, and explores the theory's singularity where it becomes free.

Contribution

It provides a detailed analysis of dilatonic effects on Wilson loops and identifies the resulting potential's structure in the strong-coupling regime.

Findings

Potential includes linear, L-independent, and 1/L terms.

Indicates Lüscher-type behavior in the dual gauge theory.

Explores the singularity where the theory becomes free.

Abstract

In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential obtained is characterised by having a linear confining term, an $L$ independent term and another 1/L piece. This is indicative of a L\"uscher-type behaviour in the strong-coupling regime of the dual gauge theory. On the other hand, we also explore the singularity as a point where the theory becomes free.