Difference between standard and quasi-conformal BFKL kernels

Abstract

As it was recently shown, the colour singlet BFKL kernel, taken in Moebius representation in the space of impact parameters, can be written in quasi-conformal shape, which is unbelievably simple compared with the conventional form of the BFKL kernel in momentum space. It was also proved that the total kernel is completely defined by its Moebius representation. In this paper we calculated the difference between standard and quasi-conformal BFKL kernels in momentum space and discovered that it is rather simple. Therefore we come to the conclusion that the simplicity of the quasi-conformal kernel is caused mainly by using the impact parameter space.

18 pages

References in corpus (10)

• Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept
• NLO evolution of color dipoles in N=4 SYM
• Unbound exotic nuclei studied by projectile fragmentation
• The dipole form of the BFKL kernel in supersymmetric Yang--Mills theories
• The dipole form of the gluon part of the BFKL kernel
• The dipole form of the quark part of the BFKL kernel
• On the coordinate representation of NLO BFKL
• Matching of the low-x evolution kernels
• Connection between complete and Moebius forms of gauge invariant operators
• On the discrepancy of the low-x evolution kernels

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