Effective Hamiltonian for QCD evolution at high energy

Details Effective Hamiltonian for QCD evolution at high energy Effective Hamiltonian for QCD evolution at high energy

2005-04-21

arxiv.org/abs/hep-ph/0504182v2

Nucl.Phys.A764:423-459,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

44 pages, 3 figures. More clarifications added on the Hamiltonian structure of the effective theory

Scientific paper

10.1016/j.nuclphysa.2005.09.006

We construct the effective Hamiltonian which governs the renormalization group flow of the gluon distribution with increasing energy and in the leading logarithmic approximation. This Hamiltonian defines a two-dimensional field theory which involves two types of Wilson lines: longitudinal Wilson lines which describe gluon recombination (or merging) and temporal Wilson lines which account for gluon bremsstrahlung (or splitting). The Hamiltonian is self-dual, i.e., it is invariant under the exchange of the two types of Wilson lines. In the high density regime where one can neglect gluon number fluctuations, the general Hamiltonian reduces to that for the JIMWLK evolution. In the dilute regime where gluon recombination becomes unimportant, it reduces to the dual partner of the JIMWLK Hamiltonian, which describes bremsstrahlung.

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