Holographic Modelling of a Light Techni-Dilaton

TL;DR

This paper develops a holographic model to study chiral symmetry breaking and the emergence of a light techni-dilaton in near-conformal gauge theories, linking scalar meson masses to the running of the anomalous dimension.

Contribution

It introduces a simplified holographic framework incorporating the running of the anomalous dimension to analyze chiral symmetry breaking and the conditions for a light techni-dilaton.

Findings

A light techni-dilaton appears when the theory approaches conformality.

The model predicts the scalar meson spectrum becomes light near the conformal window.

The scalar meson mass is sensitive to the running of the anomalous dimension.

Abstract

We present a simplified holographic model of chiral symmetry breaking in gauge theory. The chiral condensate is represented by a single scalar field in AdS, with the gauge dynamics input through radial dependence of its mass, representing the running of the anomalous dimension of the qbar q operator. We discuss simple examples of the chiral transition out of the conformal window when the infrared value of the anomalous dimension, \gamma_m, is tuned to one (equivalently the AdS-scalar mass squared is tuned to the Breitenlohner-Freedman bound of -4). The output of the model are the masses of the $\bar{q} q$ scalar meson bound states. We show in an explicit example that if the gradient of the running of the anomalous dimension falls to zero at the scale where the BF bound violation occurs, so that the theory becomes near conformal, then the theory possesses a techni-dilaton state that is parametrically lighter than the dynamically generated quark mass. Indeed the full spectrum of excited meson states also become light (relative to the techni-quark mass) as they approach a conformal spectrum.