Anomalous dimension and quasinormal modes of flavor branes

TL;DR

This paper investigates scalar quasinormal modes in a holographic D3/D7 system with a nontrivial dilaton profile, revealing how anomalous dimensions influence the stability and behavior of modes in theories with chiral symmetry breaking.

Contribution

It introduces a model with a dilaton profile parameter q affecting quark condensate anomalous dimensions and analyzes quasinormal modes' behavior, including pseudoscalar effects, in walking theories.

Findings

No pure imaginary mode for massless case without increasing q

Pure imaginary mode appears as q increases

Massive modes can become tachyonic

Abstract

We study scalar quasinormal modes in a D3/D7 system holographically dual to a quantum field theory with chiral symmetry breaking at finite temperature. From the bottom-up approach, we consider a nontrivial dilaton profile which is responsible for the anomalous dimension of the quark condensate. It depends on a new parameter$ q$ in the model. By varying this parameter, we study the behavior of the massive and massless scalar quasinormal modes. The numerical method that we use is the spectral method, and we find that there is no pure imaginary mode for the massless case but it appears by increasing the parameter $q$. It is known that this mode becomes tachyonic for massive cases. Then we turn on a pseudoscalar field and using a simple ansatz study its effect on the quasinormal modes of the scalar field. By varying the parameter of the nontrivial dilaton profile in the model, we qualitatively study quasinormal modes in walking theories.