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Difference between standard and quasi-conformal BFKL kernels · Around

2012

Difference between standard and quasi-conformal BFKL kernels

Fadin, V. S., Fiore, R., Papa, A.

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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.

Built on

V.S. Fadin, E.A. Kuraev and L.N. Lipatov, Phys. Lett. B60
1978
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L.N. Lipatov, Sov. Phys. JETP 63
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N.N. Nikolaev and B.G. Zakharov, Z. Phys. C64
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V.S. Fadin and L.N. Lipatov, Phys. Lett. B429
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V.S. Fadin and R. Fiore, Phys. Lett. B440
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V.S. Fadin and A. Papa, Nucl. Phys. B640
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Earlier work this paper cites.

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Then

V.S. Fadin and R. Fiore, Phys. Lett. B661
2008
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2009
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I. Balitsky and G.A. Chirilli, Nucl. Phys. B 822
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Later among the works it cites.
V.S. Fadin, R. Fiore, A.V. Grabovsky and A. Papa, Nucl. Phys. B856
2012
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