Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-01-16
JHEP 0903:109,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
35 pages, 5 figures
Scientific paper
10.1088/1126-6708/2009/03/109
We derive the evolution equation for hadronic scattering amplitude at high energy. Our derivation includes the nonlinear effects of finite partonic density in the hadronic wave function as well as the effect of multiple scatterings for scattering on dense hadronic target. It thus includes Pomeron loops. It is based on the evolution of the hadronic wave function derived in \cite{foam}. The kernel of the evolution equation defines the second quantized Hamiltonian of the QCD Reggeon Field Theory, $H_{RFT}$ beyond the limits considered so far. The two previously known limits of the evolution: dilute target (JIMWLK limit) and dilute projectile (KLWMIJ limit) are recovered directly from our final result. The Hamiltonian $H_{RFT}$ is applicable for the evolution of scattering amplitude for arbitrarily dense hadronic projectiles/targets - from "dipole-dipole" to "nucleus-nucleus" scattering processes.
Altinoluk Tolga
Kovner Alex
Lublinsky Michael
Peressutti Javier
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