Note on deconfinement temperature with chemical potential from AdS/CFT

TL;DR

This paper investigates how the deconfinement temperature in gauge theories, modeled via AdS/CFT correspondence, varies with chemical potential and charge density, revealing a decrease in critical temperature with increased charge density.

Contribution

It provides a general analysis of the Hawking-Page phase transition for R-charged black holes across dimensions, linking gravitational phase transitions to gauge theory deconfinement.

Findings

Critical temperature decreases with increasing charge density.

Critical temperature decreases with decreasing IR cutoff.

Results apply to various dimensions in AdS/CFT models.

Abstract

In this note we study the first-order Hawking-Page phase transition of R-charged black hole in truncated Anti-de Sitter space of various dimensions. This corresponds to confinement/deconfinement phase transition in the dual gauge field theory with fixed chemical potential. We demonstrate in general this critical temperature decreases with increasing charge density but with decreasing IR cutoff.