Quantization Rules in Holographic QCD Models

TL;DR

This paper develops generalized quantization rules for quasinormal modes in holographic QCD models using WKB approximation, providing analytic results and insights into meson dissociation processes.

Contribution

It introduces generalized Bohr Sommerfeld quantization rules for holographic QCD quasinormal modes and applies them to compute scalar and vector field frequencies.

Findings

Analytic expressions for real parts of frequencies at low temperature

Quantization rules applicable to quasi-stationary states

Insights into meson dissociation in holographic models

Abstract

In this paper, we investigate quasinormal modes in holographic QCD models from the perspective of the WKB approximation. We derive the generalized Bohr Sommerfeld quantization rules for quasi-stationary states in holographic QCD models. As a simple application of these formulas, we compute the quasinormal modes of scalar and vector fields in the soft wall model, where an analytic expression for the real part of the frequency can be found in the low temperature regime. Additionally, this study provides useful insights into the dissociation process in holographic QCD models.