Stark effect and dissociation of mesons in holographic conductor

TL;DR

This paper investigates how an electric field influences meson spectra in a holographic model, revealing the Stark effect and phase transitions between meson and dissociation states.

Contribution

It provides a comprehensive analysis of scalar and vector meson spectra under varying electric fields using the D3/D7 holographic model, highlighting the Stark effect and phase behavior.

Findings

Electric field induces the Stark effect in meson spectra.

Avoided crossing observed between meson energy levels.

Identification of meson and dissociation phases in the background.

Abstract

We study the meson spectrum of the ${\cal{N}}=4$ supersymmetric Yang-Mills theory with ${\cal{N}}=2$ fundamental hypermultiplets for a finite electric field by using the D3/D7 model. The spectrum for scalar and vector mesons is computed by analyzing the (quasi-)normal modes for the fluctuations of the D7-brane embedding and gauge fields. In the presence of an electric field, two different phases in the background are realized: the meson and dissociation phases. In this paper, we analyze the meson spectrum of scalar and vector mesons for all ranges of the electric field and explore the effect of the electric field on the meson spectrum, that is, the Stark effect. In the meson spectrum, we observe the avoided crossing between different levels due to the coupling of fluctuations via the electric field.