QCD Reggeon Field Theory for every day: Pomeron loops included

Abstract

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.

35 pages, 5 figures

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Cited by in corpus (5)

• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Non-linear equation: energy conservation and impact parameter dependence
• Correlations in impact-parameter space in a hierarchical saturation model for QCD at high energy
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• Inside looking out: probing JIMWLK with BFKL calculations