Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables

TL;DR

This paper analyzes the high and low temperature behaviors of non-local observables in strongly coupled gauge theories using AdS/CFT, providing analytic expressions and insights into bulk geometry contributions.

Contribution

It develops a systematic expansion method for key non-local observables at finite temperature in gauge theories via AdS/CFT, offering new analytic results.

Findings

Derived analytic expressions for observables at temperature limits

Identified bulk geometry contributions to gauge theory observables

Enhanced understanding of thermal behavior in strongly coupled theories

Abstract

We explore the high and low temperature behavior of non-local observables in strongly coupled gauge theories that are dual to AdS. We develop a systematic expansion for equal time two-point correlation, spatial Wilson loops and entanglement entropy at finite temperature using the AdS/CFT correspondence, leading to analytic expressions for these observables at high and low temperature limits. This approach enables the identification of the contributions of different regions of the bulk geometry to these gauge theory observables.