High energy scattering in QCD

Abstract

Abstract Starting with basic ideas of the parton model and the Regge approach we discuss the DGLAP and BFKL evolution equations. It is shown, that the gluon lies on its Regge trajectory and the pomeron in QCD is a compound state of reggeized gluons. The conformal invariance of the BFKL equation in the impact parameter space is used to investigate the hadron scattering amplitudes at high energies and fixed momentum transfers. The remarkable properties of the Schrodinger equation for compound states of an arbitrary number of reggeized gluons in the multi-colour QCD are reviewed. The gauge-invariant effective action describing the gluon-Reggeon interactions is constructed. The known next-to-leading corrections to the QCD pomeron are discussed.