Low Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model

Details Low Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model Low Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model

2008-04-22

arxiv.org/abs/0804.3446v1

Phys.Rev.D77:115002,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages and 4 figures; Accepted for publication in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.77.115002

We have considered the holographic large $N_c$ QCD model proposed by Sakai and Sugimoto and evaluated the non-Abelian DBI-action on the D8-brane upto $(\alpha')^4$ terms. Restricting to the pion sector, these corrections give rise to four derivative contact terms for the pion field. We derive the Weinberg's phenemenological lagrangian. The coefficients of the four derivative terms are determined in terms of $g_{YM}^2$. The low energy pion-pion scattering amplitudes are evaluated. Numerical results are presented with the choice of $M_{KK}=0.94 GeV$ and $N_c=11$. The results are compared with the amplitudes calculated using the experimental phase shifts. The agreement with the experimental data is found to be satisfactory.

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