Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals

Details Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals

2003-06-03

arxiv.org/abs/hep-th/0306018v3

Phys.Rev. D69 (2004) 066007

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 14 eps figures, LaTeX, added discussion of MC flows

Scientific paper

10.1103/PhysRevD.69.066007

We study gravity duals of large N non-supersymmetric 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 non-constant dilaton and S^5 radius. Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the quark condensate and meson spectrum associated with these backgrounds. In the AdS-black hole background, a quark-bilinear condensate develops only at non-zero 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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