First order phase transition in the D3-D7 model from the point of view of the fermionic spectral functions

TL;DR

This paper investigates a first order phase transition in the D3-D7 holographic model by analyzing fermionic spectral functions, revealing temperature-dependent decay rates and a jump at the critical temperature.

Contribution

It introduces a novel spectral function analysis of fermions in the D3-D7 model to identify and characterize the first order phase transition.

Findings

Spectral functions show a jump at the critical temperature.

Decay rates vary with temperature, indicating phase transition dynamics.

Fermionic spectral analysis supports the first order nature of the transition.

Abstract

We consider the D3-D7 model and use the spectral function of a probe fermion on D7 to analyze the first order phase transition from the black-hole embedding phase to another black-hole embedding phase in the presence of the finite density and temperature. From the fermionic spectral functions, we study the temperature dependence of the decay rate, and we observe various phenomena that support the first order phase transition including jump in it at the critical temperature that corresponds to the first order phase transition.