Interactions of reggeized gluons in the Möbius representation

2004/04/13 by J. Bartels, L. N. Lipatov, L.N. Lipatov +2 · 8 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2004.10.008

published as Nucl.Phys.B706:391-410,2005 · 19 pages, 1 figure

arxiv created 2004/04/13 · openalex publication_date 2004/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate consequences of the Möbius invariance of the BFKL Hamiltonian and of the triple Pomeron vertex. In particular, we show that the triple Pomeron vertex in QCD, when restricted to the large N_c limit and to the space of Möbius functions, simplifies and reduces to the vertex used in the Balitsky-Kovchegov (BK) equation. As a result, the BK equation for the dipole density appears as a special case of the nonlinear evolution equation which sums the fan diagrams for BFKL Green's functions in the Möbius representation. We also calculate the corrections O(1/(N_c²-1) to the triple Pomeron vertex in the space of Möbius functions, and we present a generalization of the BK-equation in the next-to-leading order approximation in the 1/N_c expansion.

Citations

• Phenomenology of the BFKL pomeron and Unitarity Corrections at low x
• The hard QCD Pomeron: some aspects of its phenomenology and interactions

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