Pion in the Holographic Model with 5D Yang-Mills Fields
arXiv:0808.1243 · doi:10.1103/PhysRevD.78.115008
Abstract
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. One of the advantages of the present model is that it does not require an infrared boundary counterterm to correctly reproduce the anomaly of QCD.
10 pages, 2 figures
References in corpus (13)
- Exploring improved holographic theories for QCD: Part II
- Chiral symmetry breaking as open string tachyon condensation
- QCD and dimensional deconstruction
- Form Factors and Wave Functions of Vector Mesons in Holographic QCD
- Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
- Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model
- Sakai-Sugimoto model, Tachyon Condensation and Chiral symmetry Breaking
- Quark mass and condensate in HQCD
- Pion Form Factors in Holographic QCD
- Pion Form Factor in Improved Holographic QCD Backgrounds
- Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
- Holographic heavy-light mesons from non-Abelian DBI
- Dimension Six Corrections to the Vector Sector of AdS/QCD Model