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 ConstableMyers nonsupersymmetric background, which has been shown to describe chiral symmetry breaking in the pattern of QCD. We expand the D7 brane’s DiracBornInfeld action for fluctuations that correspond to the Goldstone mode and show that they take the form of a nonlinear chiral Lagrangian. We numerically compute the quark condensate, pion decay constant, and higher order GasserLeutwyler 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.
 Publication:

Physical Review D
 Pub Date:
 August 2004
 DOI:
 10.1103/PhysRevD.70.046002
 arXiv:
 arXiv:hepth/0403279
 Bibcode:
 2004PhRvD..70d6002E
 Keywords:

 11.25.Tq;
 11.25.Wx;
 11.30.Qc;
 11.30.Rd;
 Gauge/string duality;
 String and brane phenomenology;
 Spontaneous and radiative symmetry breaking;
 Chiral symmetries;
 High Energy Physics  Theory
 EPrint:
 24 pages, LaTeX, 7 figures