2009/11/30 by Edwin Barnes, Diana Vaman
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Gluon #Massless particle #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Scattering #Scattering amplitude #String (physics) #String field theory #Worldsheet #hep-th
paper · pdf · doi:10.1103/physrevd.81.126007
published as Phys.Rev.D81:126007,2010 · 46 pages, 11 figures, v4: additional comments added to intro
arxiv created 2010/05/26 · openalex publication_date 2010/06/10 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend the analysis of Alday and Maldacena for obtaining gluon scattering amplitudes at strong coupling to include external massive quark states. Our quarks are actually the N=2 hypermultiplets which arise when D7-brane probes are included in the AdS5\ifmmode×\else\texttimes\fiS5 geometry. We work in the quenched approximation, treating the N=2 matter multiplets as external sources coupled to the N=4 supersymmetric Yang-Mills fields. We first derive appropriate massive-particle boundary conditions for the string scattering world sheets. We then find an exact world sheet which corresponds to the scattering of two massive quarks and two massless gluons and extract from this the associated scattering amplitude. We also find the world sheet and amplitude for the scattering of four massive quarks. Our world sheet solutions reduce to the four massless gluon solution of Alday and Maldacena in the limit of zero quark mass. The amplitudes we compute can also be interpreted in terms of 2-2 scattering involving gluons and massive W bosons.