Pion Form Factor in Improved Holographic QCD Backgrounds

Abstract

We extend a recent numerical calculation of the pion electromagnetic form factor F_π(Q^2) in holographic QCD to study two important issues regarding the behavior of fields in the bulk. First, we show that using a chiral symmetry-breaking field formally satisfying the boundary conditions of the ``soft-wall'' model changes numerical results very little from the earlier calculation that ignores these constraints. Second, we use a background field that interpolates between ``hard-wall'' and ``soft-wall'' models to obtain an improved model that reproduces the desirable phenomenological features of both. In all cases, F_π$ for large Q^2 is shallower than data, an effect that can be cured by relaxing the fit to one of the static observables, particularly the decay constant f_π.

19 pages, 1 eps figure. This version, to appear in Phys. Rev. D, includes an extended discussion of the fit to the soft-wall model and a detailed description of the numerical approaches used

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