Dynamical Stability and Critical Exponents of the Neutral (S-type) Gubser-Rocha Model with Momentum Dissipation

TL;DR

This paper studies the phase transition and stability of the neutral Gubser-Rocha holographic model, revealing mean-field critical exponents, dynamical stability, and emergent Nambu-Goldstone modes in the broken phase.

Contribution

It provides a detailed analysis of the critical exponents, dynamical stability, and Nambu-Goldstone modes in the neutral Gubser-Rocha model with momentum dissipation.

Findings

Critical exponents match mean-field percolation theory.

Dynamical stability aligns with thermodynamic stability.

Emergence of Nambu-Goldstone mode in the broken phase.

Abstract

The (S-type) Gubser-Rocha model is a holographic model that shows the linear dependence of the entropy density on the temperature. With an appropriate choice of the boundary action, this model exhibits a continuous phase transition in the neutral limit. In this paper, we investigate several aspects of this phase transition. Firstly, we show that the critical exponents of the phase transition match those in the mean-field percolation theory. Subsequently, we also investigate the dynamical stability, and the emergence of the Nambu-Goldstone modes by analyzing the quasinormal modes of the perturbation fields. The dynamical stability agrees with the thermodynamic stability. In addition, we find that there is an emergent Nambu-Goldstone mode in the broken phase of the S-type model.