Representations of the LL BFKL Kernel and the Bootstrap

Abstract

Different forms of the BFKL kernel both in coordinate and momentum representations may appear as a result of different gauge choices and/or inner scalar products of the color singlet states. We study a spectral representation of the BFKL kernel not defined on the Moebius space of functions but on a deformation of it, which provides the usual bootstrap property due to gluon reggeization. In this space the corresponding symmetry is made explicit introducing a deformed realization of the sl(2,C) algebra.

arXiv comment4 pages, Talk on XIth International Conference on Elastic and Diffractive Scattering (EDS05),Chateau de Blois (France), 15-20 May 2005

References in corpus (6)

• Interactions of Reggeized Gluons in the Möbius Representation
• How does the BFKL-Pomeron couple to quarks ?
• The bootstrap for impact factors and the gluon wave function
• The 2nd order corrections to the interaction of two reggeized gluons from the bootstrap
• Deformed Spectral Representation of the BFKL Kernel and the Bootstrap for Gluon Reggeization
• Properties of a family of n reggeized gluon states in multicolour QCD