2008/04/22 by R. Parthasarathy, K. S. Viswanathan
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.77.115002
published as Phys.Rev.D77:115002,2008 · 17 pages and 4 figures; Accepted for publication in Phys.Rev.D
arxiv created 2008/04/22 · openalex publication_date 2008/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have considered the holographic large Nc QCD model proposed by Sakai and Sugimoto and evaluated the non-Abelian DBI-action on the D8-brane up to (\ensuremathα^\ensuremath')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 gYM2. The low energy pion-pion scattering amplitudes are evaluated. Numerical results are presented with the choice of MKK=0.94 GeV and Nc=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.