Holographic descriptions of large N gauge dynamics

Abstract

We use the AdS/CFT correspondence to study different aspects of large N dynamics of gauge theories in the strongly coupled regime. We present three models designed to capture some of the physics present in QCD at low energies or QCD-type theories such as walking tecnhicolor. We use the D3/D7 system to study chiral symmetry breaking in two different contexts: In the first model we break chiral symmetry with an arbitrary running coupling which has a pion in its spectrum. We derive integral equations for the quark condensate and pion decay constant by matching our model to a low energy chiral lagrangian and discuss the implications for technicolor theories. In the second model we study the on set of chiral symmetry breaking at the edge of the conformal window in QCD in the Veneziano limit and show a BKT-type transition. Finally, in the context of AdS/QCD we extend the ”hard wall” model to include the tensor operator ¯φσ^μνψ dual to a two form satisfying a self duality condition and study numerically the spectrum of vector mesons.

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