Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order. Academic Article uri icon

abstract

  • The Jalilian-Marian,Iancu, McLerran, Weigert, Leonidov, Kovner (JIMWLK) Hamiltonian for high energy evolution of QCD amplitudes is presented at the next-to-leading order accuracy ins. The form of the Hamiltonian is deduced from the symmetries and the structure of the hadronic light cone wavefunction and by comparing the rapidity evolution of the quark dipole and the three-quark singlet states with results available in the literature. The next-to-leading corrections should allow for more robust phenomenological applications of perturbative saturation approach. It is believed that at high energy gluons saturate in perturbative regime. The idea of perturbative gluon saturation was first suggested and discussed in detail in (1). To date there exist numerous phenomenological applications of this idea to DIS, heavy ion collisions and proton-proton collisions at the LHC (2). These applications are based on the Balitsky-Kovchegov (BK) non-linear evolution equation (3, 4), which at large Nc describes the growth of the gluon density with energy and the gluon saturation. The more general approach to the calculation of high energy hadronic amplitudes is known as the Jalilian-Marian,Iancu, McLerran, Weigert, Leonidov, Kovner (JIMWLK) evolution. The JIMWLK Hamiltonian (5) is the limit of the QCD Reggeon Field Theory (RFT), applicable for computations of high energy scattering amplitudes of dilute (small parton number) projectiles on dense (nuclei) targets. In general it predicts the rapidity evolution of any hadronic observable O via the functional equation of the form

publication date

  • January 1, 2014