Speaker
Victor Fadin
(Budker Institute of Nuclear Physics Novosibirsk)
Description
In the BFKL approach scattering amplitudes are given by convolutions of impact factors of colliding particles and Green functions of two reggeized gluons. A possibility to rearrange radiative corrections to scattering amplitudes between the impact factors
and the Green functions leads to an ambiguity of NLO BFKL kernels for equations of evolution of the Green functions with energy. The ambiguity permits to write the BFKL kernels in quasi-conformal shapes, i.e. in the forms where conformal invariance is violated only by running coupling. For the singlet representation of the gauge group the conformal invariance means invariance of the kernel in the Möbius representation with respect to the conformal transformations in the impact parameter space, whereas for the adjoint representation it means invariance of the kernel with subtracted gluon trajectory depending on the total transverse momentum with respect to the conformal transformation in the transverse momentum space. The differences between standard and quasi-conformal shapes of the BFKL kernels are found in the momentum space and are proved to be rather simple.
Author
Victor Fadin
(Budker Institute of Nuclear Physics Novosibirsk)
