Difference between standard and quasi-conformal BFKL kernels |
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Authors: | VS Fadin R Fiore A Papa |
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Institution: | 1. Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia;2. Novosibirsk State University, 630090 Novosibirsk, Russia;3. Dipartimento di Fisica, Università della Calabria, and Istituto Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza, Arcavacata di Rende, I-87036 Cosenza, Italy |
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Abstract: | As it was recently shown, the colour singlet BFKL kernel, taken in Möbius 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 Möbius 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. |
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