Phase transitions in AdS soliton spacetime through marginally stable modes

TL;DR

This paper studies how marginally stable modes in AdS soliton spacetime signal phase transitions, with findings aligning well with previous results, enhancing understanding of stability and phase change mechanisms.

Contribution

It introduces a method using marginally stable modes to identify phase transition points in AdS soliton backgrounds, confirming results with prior studies.

Findings

Critical chemical potentials match previous numerical and analytical results.

Marginally stable modes indicate the onset of phase transitions.

The approach provides a new perspective on stability analysis in AdS spacetimes.

Abstract

We investigate the marginally stable modes of the scalar (vector) perturbations in the AdS soliton background coupled to electric field. In the probe limit, we find that the marginally stable modes can reveal the onset of the phase transitions of this model. The critical chemical potentials obtained from this approach are in good agreement with the previous numerical or analytical results.