Quantum Criticality in Einstein-Maxwell-Dilaton Gravity

TL;DR

This paper explores quantum criticality in Einstein-Maxwell-Dilaton gravity, demonstrating the existence of critical points with variable dynamic critical exponents and analyzing their effects on stability and holographic RG flow.

Contribution

It identifies critical points with tunable dynamic critical exponent z by adjusting nonminimal coupling in Einstein-Maxwell-Dilaton gravity, and studies their impact on Efimov states and RG flow.

Findings

Nonminimal coupling increases instability for scalar condensation.

Existence of critical points with dynamic critical exponent z.

Analysis of quantum mechanics for z=2 system.

Abstract

We investigate the quantum Lifshitz criticality in a general background of Einstein-Maxwell-Dilaton gravity. In particular, we demonstrate the existence of critical point with dynamic critical exponent z by tuning a nonminimal coupling to its critical value. We also study the effect of nonminimal coupling and exponent z to the Efimov states and holographic RG flow in the overcritical region. We have found that the nonminimal coupling increases the instability for a probe scalar to condensate and its back reaction is discussed. At last, we give a quantum mechanics treatment to a solvable system with z=2, and comment for generic z>2.