Geometric approach to condensates in holographic QCD

Abstract

An $\mathrm{SU}({N}_{f})\ifmmode\times\else\texttimes\fi{}\mathrm{SU}({N}_{f})$ Yang-Mills theory on an extra-dimensional interval is considered, with appropriate symmetry-breaking boundary conditions on the IR brane. UV-brane to UV-brane correlators at high energies are compared with the OPE of two-point functions of QCD quark currents. Condensates correspond to departure from the AdS metric of the (different) metrics felt by vector and axial combinations, away from the UV brane. Their effect on hadronic observables is studied: the extracted condensates agree with the signs and orders of magnitude expected from QCD.