A Gravity Dual of Chiral Symmetry Breaking

TL;DR

This paper develops a holographic model for chiral symmetry breaking in a non-supersymmetric gauge theory, demonstrating the formation of a condensate and Goldstone bosons via a D7-brane probe in a deformed AdS background.

Contribution

It introduces a novel gravity dual description of chiral symmetry breaking using a D7-brane in a specific deformed AdS space, with numerical analysis of condensate and meson spectrum.

Findings

Identifies a chiral symmetry breaking condensate.

Finds a pion-like Goldstone boson.

Shows the D7-brane avoids the singularity due to the condensate.

Abstract

We establish a holographic description of chiral symmetry breaking for a particular confining large N non-supersymmetric gauge theory with matter in the fundamental representation. The gravity dual of this theory is obtained by introducing a D7-brane probe into a deformed Anti-de Sitter background found by Constable and Myers. We numerically compute the \bar\psi\psi condensate and meson spectrum by solving the equation of motion of the D7-brane probe in this background. We find a symmetry breaking condensate as well as the associated, pion-like, Goldstone boson in the limit of small quark mass. The existence of the condensate ensures that the D7-brane never reaches the naked singularity at the origin of the deformed AdS space.