TY - JOUR
T1 - Towards a symmetric approach to high energy evolution
T2 - Generating functional with pomeron loops
AU - Levin, E.
AU - Lublinsky, M.
N1 - Funding Information:
We want to thank Asher Gotsman, Alex Kovner and Uri Maor for very useful discussions on the subject of this paper. We are most grateful to Nestor Armesto for pointing to several misprints in our manuscript and for very valuable comments. We are very grateful to our referee whose comments and constructive criticism helped us to considerably improve this paper. This research was supported in part by the Israel Science Foundation, founded by the Israeli Academy of Science and Humanities.
PY - 2005/12/26
Y1 - 2005/12/26
N2 - We derive an evolution equation for the generating functional which accounts for processes for both gluon emission and recombination. In terms of color dipoles, the kernel of this equation describes evolution as a classical branching process with conserved probabilities. The introduction of dipole recombination allows one to obtained closed loops during the evolution, which should be interpreted as pomeron loops of the BFKL pomerons. In comparison with the emission, the dipole recombination is formally 1/Nc2 suppressed. This suppression, nevertheless, is compensated at very high energies when the scattering amplitude tends to its unitarity bound.
AB - We derive an evolution equation for the generating functional which accounts for processes for both gluon emission and recombination. In terms of color dipoles, the kernel of this equation describes evolution as a classical branching process with conserved probabilities. The introduction of dipole recombination allows one to obtained closed loops during the evolution, which should be interpreted as pomeron loops of the BFKL pomerons. In comparison with the emission, the dipole recombination is formally 1/Nc2 suppressed. This suppression, nevertheless, is compensated at very high energies when the scattering amplitude tends to its unitarity bound.
UR - http://www.scopus.com/inward/record.url?scp=28244496529&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysa.2005.08.021
DO - 10.1016/j.nuclphysa.2005.08.021
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AN - SCOPUS:28244496529
SN - 0375-9474
VL - 763
SP - 172
EP - 196
JO - Nuclear Physics A
JF - Nuclear Physics A
IS - 1-4
ER -