25th International Workshop on Deep Inelastic Scattering and Related Topics

Euler-Lagrange equations for the high energy effective actions in QCD and gravity

Not scheduled

20m

School of Physics and Astronomy (University of Birmingham)

WG2) Low x and Diffraction WG2 Low x and Diffraction

Speaker

Prof. Lev Lipatov (Petersburg Nuclear Physics Institute)

Description

We review the BFKL approach for the high enegy scattering in QCD based on the gluon reggeization. The effective action and the corresponding Euler-Lagrange equations for the reggeized gluon interactions are formulated in a gauge-invariant way locally in the particle rapidities. The BFKL Pomeron is the simplest composite state of reggeized gluons. In N=4 SUSY it is dual to the reggeized graviton living
in the 10-dimensional Anti-de-Sitter space. The effective action for the reggeized
graviton interactions is presented. The corresponding Euler-Lagrange equtions are constructed and their particular solutions are discussed.