Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals

Babington, J., Erdmenger, J., Evans, N.J., Guralnik, Z. and Kirsch, I. (2004) Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals. Physical Review D, 69 (6), 066007-[13pp]. (doi:10.1103/PhysRevD.69.066007).

Abstract

We study gravity duals of large N nonsupersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider a D7-brane probe in both the AdS Schwarzschild black hole solution and in the background found by Constable and Myers, which involves a nonconstant dilaton and S5 radius.
Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the Psi-bar Psi condensate and meson spectrum associated with these backgrounds. In the AdS–black-hole background, a quark-bilinear condensate develops only at a nonzero quark mass. We speculate on the existence of a third order phase transition at a critical quark mass where the D7 embedding undergoes a geometric transition. In the Constable-Myers background, we find a chiral symmetry breaking condensate as well as the associated 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.

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