We study the high energy evolution of hadronic cross-sections and other physical observables in QCD. We discuss the general framework of JIMWLK and KLWMIJ Hamiltonians that describe the evolution of hadronic scattering amplitude at high energy. We investigate the relation between eigenvalues and eigenfunctions of BFKL and JIMWLK/KLWMIJ Hamiltonians and show that the eigenvalues of the BFKL Hamiltonian are also exact eigenvalues of the KLWMIJ (and JIMWLK) Hamiltonian. We also calculate the higher order corrections to BFKL eigenfunction, namely to reggeized gluon, and show that the bootstrap condition in KLWMIJ framework is satisfied automatically due to the hermiticity of the KLWMIJ Hamiltonian.

CPhT Ecole Polytechnique