Chiral Dynamics From AdS Space

Abstract

We study the low energy dynamics of pions in a gravity dual of chiral symmetry breaking. The string theory construction consists of a probe D7 brane in the Constable Myers non-supersymmetric background, which has been shown to describe chiral symmetry breaking in the pattern of QCD. We expand the D7 brane's Dirac Born Infeld action for fluctuations that correspond to the Goldstone mode and show that they take the form of a non-linear chiral lagrangian. We numerically compute the quark condensate, pion decay constant and higher order Gasser Leutwyler coefficients. We find their form is consistent with naive dimensional analysis estimates. We also explore the gauging of the quark's chiral symmetries and the vector meson spectrum.

24 pages, LaTeX, 7 figures

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• Spectroscopy of fermionic operators in AdS/CFT
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• Mesons in marginally deformed AdS/CFT
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• Strong Coupling Dynamics of the Higgs Branch: Rolling a Higgs by Collapsing an Instanton
• Spontaneous chiral symmetry breaking in holographic soft wall models
• Adding open string modes to the gauge/gravity correspondence
• Canonical Coordinates and Meson Spectra for Scalar Deformed N=4 SYM from the AdS/CFT Correspondence
• Low-Energy Theorems from Holography
• Instantons on D7 brane probes and AdS/CFT with flavour
• Deconstruction and Elastic pi pi Scattering in Higgsless Models
• Holographic Friedmann Equation and $\mathcal{N}=$4 SYM theory
• Meson spectra in a gluon condensate background
• A holographic model of hadronization
• Hadronization at the AdS wall
• Holographic 1/Nc correction from the chiral condensate
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