Stress Tensor of Static Dipoles in strongly coupled $\cal{N}$=4 Gauge Theory

TL;DR

This paper calculates the stress tensor induced by static dipoles in strongly coupled ${ m N}=4$ SYM theory using AdS/CFT, providing analytic expressions and comparisons to weak coupling and lattice QCD results.

Contribution

It provides the first analytic expressions for the stress tensor of static dipoles in strongly coupled ${ m N}=4$ SYM via AdS/CFT, including near- and far-field regimes.

Findings

Analytic far-field and near-field stress tensor expressions.

Comparison with weak coupling results.

Relevance to lattice QCD in strongly coupled regimes.

Abstract

In the context of the AdS/CFT correspondence we calculate the induced stress tensor of static dipoles (electric-electric and electric-magnetic) in a strongly coupled ${\cal N}=4$ SYM gauge theory, by solving the linearized Einstein equation with Maldecena string as a source. Analytic expressions are given for the far-field and a near-field close to one charge, and compared to what one has in weak coupling. The result can be compared to lattice results for QCD-like theories in a deconfined but strongly coupled regime.