TY - JOUR
T1 - Solution for the BFKL pomeron calculus in zero transverse dimensions
AU - Kozlov, M.
AU - Levin, E.
N1 - Funding Information:
This research was supported in part by the Israel Science Foundation, founded by the Israeli Academy of Science and Humanities and by BSF grant # 20004019.
PY - 2006/11/27
Y1 - 2006/11/27
N2 - In this paper the exact analytical solution is found for the BFKL pomeron calculus in zero transverse dimensions, in which all pomeron loops have been included. The comparison with the approximate methods of the solution is given, and the kinematic regions are discussed where they describe the behaviour of the scattering amplitude quite well. In particular, the semi-classical approach is considered, which reproduces the main properties of the exact solution at large values of rapidity (Y ≥ 10). It is shown that the mean field approximation leads to a good description of the scattering amplitude only if the amplitude at low energy is rather large. However, even in this case, it does not lead to the correct asymptotic behaviour of the scattering amplitude at high energies.
AB - In this paper the exact analytical solution is found for the BFKL pomeron calculus in zero transverse dimensions, in which all pomeron loops have been included. The comparison with the approximate methods of the solution is given, and the kinematic regions are discussed where they describe the behaviour of the scattering amplitude quite well. In particular, the semi-classical approach is considered, which reproduces the main properties of the exact solution at large values of rapidity (Y ≥ 10). It is shown that the mean field approximation leads to a good description of the scattering amplitude only if the amplitude at low energy is rather large. However, even in this case, it does not lead to the correct asymptotic behaviour of the scattering amplitude at high energies.
KW - BFKL pomeron
KW - Exact solution
KW - Generating functional
KW - Semi-classical solution
KW - Sturm-Liouville problem
UR - http://www.scopus.com/inward/record.url?scp=33750147752&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysa.2006.08.011
DO - 10.1016/j.nuclphysa.2006.08.011
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AN - SCOPUS:33750147752
SN - 0375-9474
VL - 779
SP - 142
EP - 176
JO - Nuclear Physics A
JF - Nuclear Physics A
ER -