Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-24
Phys.Rev.D80:026002,2009
Physics
High Energy Physics
High Energy Physics - Theory
39pp., Latex, no figures; v2: typos corrected; v3: final, to appear in PRD
Scientific paper
We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}=4$ SYM to large $N$ QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate properties of the open-string disk amplitude integrated over reparametrizations. When the Wilson loop is approximated by the area behavior, we find that the QCD scattering amplitude is a convolution of the standard Koba-Nielsen integrand and a kernel. As usual poles originate from the first factor, whereas no (momentum dependent) poles can arise from the kernel. We show that the kernel becomes a constant when the number of external particles becomes large. The usual Veneziano amplitude then emerges in the kinematical regime where the Wilson loop can be reliably approximated by the area behavior. In this case we obtain a direct duality between Wilson loops and scattering amplitudes when spatial variables and momenta are interchanged, in analogy with the $\cal N$=4 SYM case.
Makeenko Yuri
Olesen Poul
No associations
LandOfFree
Wilson Loops and QCD/String Scattering Amplitudes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wilson Loops and QCD/String Scattering Amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wilson Loops and QCD/String Scattering Amplitudes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-348126