Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-07-22
Phys.Rev. D59 (1999) 034007; Erratum-ibid. D59 (1999) 099903
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 2 figures, references added, some typos corrected
Scientific paper
10.1103/PhysRevD.59.099903
We analyze the general nonlinear evolution equations for multi gluon correlators derived in hep-ph/9709432 by restricting ourselves to a double logarithmic region. In this region our evolution equation becomes local in transverse momentum space and amenable to simple analysis. It provides a complete nonlinear generalization of the GLR equation. We find that the full double log evolution at high density becomes strikingly different from its linear doubly logarithmic DGLAP counterpart. An effective mass is induced by the nonlinear corrections which at high densities slows down the evolution considerably. We show that at small values of impact parameter the gluonic density grows as a logarithm of energy. At higher values of impact parameter the growth is faster, since the density of gluons is lower and nonlinearities are less important.
Jalilian--Marian Jamal
Kovner Alex
Leonidov Andrei
Weigert Heribert
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