Pion in the Holographic Model with 5D Yang-Mills Fields

Grigoryan, Hovhannes; Radyushkin, Anatoly

doi:10.1103/PhysRevD.78.115008

Title: Pion in the Holographic Model with 5D Yang-Mills Fields

Journal Article · Mon Dec 01 00:00:00 EST 2008 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.78.115008· OSTI ID:956032

Grigoryan, Hovhannes; Radyushkin, Anatoly

We study pion in the holographic model of Hirn and Sanz which contains two Yang-Mills fields defined in the background of the sliced AdS space. The infrared boundary conditions imposed on these fields generate the spontaneous breaking of the chiral symmetry down to its vector subgroup. Within the framework of this model, we get an analytic expression for the pion form factor and a compact result for its radius. We also extend the holographic model to include Chern-Simons term which is required to reproduce the appropriate axial anomaly of QCD. As a result, we calculate the anomalous form factor of the pion and predict its Q^2-slope for the kinematics when one of the photons is almost on-shell. We also observe that the anomalous form factor with one real and one virtual photon is given by the same analytic expression as the electromagnetic form factor of a charged pion.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-060R23177

OSTI ID:: 956032

Report Number(s):: JLAB-THY-08-866; arXiv:0808.1243; DOE/OR/23177-0455

Journal Information:: Physical Review D, Vol. 78

Country of Publication:: United States

Language:: English

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