Various types of phase transitions in the AdS soliton background

TL;DR

This paper investigates various phase transitions, including insulator and superconductor types, in the AdS soliton background using a generalized St"uckelberg mechanism, revealing complex physics influenced by backreaction effects.

Contribution

It introduces a generalized St"uckelberg mechanism to study phase transitions in AdS soliton backgrounds with backreaction, expanding understanding of holographic insulator and superconductor transitions.

Findings

Rich variety of phase transition behaviors discovered.

Backreaction significantly affects scalar hair condensation.

Phase transition properties also examined in AdS black hole background.

Abstract

We study the basic holographic insulator and superconductor phase transition in the AdS soliton background by generalizing the spontaneous breaking of a global U(1) symmetry to occur via St$\ddot{u}$ckelberg mechanism. We construct the soliton solutions with backreaction and examine the effects of the backreaction on the condensation of the scalar hair in the generalized St$\ddot{u}$ckelberg Lagrangian. We disclose rich physics in various phase transitions. In addition to the AdS soliton configuration, we also examine the property of the phase transition in the AdS black hole background.