Loop dynamics and AdS/CFT correspondence

TL;DR

This paper explores the behavior of loop operators in strongly coupled conformal gauge theories using AdS/CFT correspondence, analyzing their dynamics and validating Schwinger-Dyson equations beyond conformal cases.

Contribution

It introduces a general approach to loop dynamics in gauge theories that extends beyond conformal theories, connecting minimal areas in AdS space with gauge theory equations.

Findings

Validated Schwinger-Dyson equations in the strong coupling limit.

Analyzed the action of loop operators on minimal AdS areas.

Developed a broader framework for loop dynamics in gauge theories.

Abstract

We consider the strong coupling limit of conformal gauge theories in 4 dimensions. The action of the loop operator on the minimal area in the AdS space is analyzed, and the Schwinger-Dyson equations of gauge theory are checked. The general approach to the loop dynamics developed here goes beyond the special case of conformal theories.