Abstract
We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N=4 super Yang-Mills theory as a real valued function of two variables. We define new real valued functions of two complex conjugate variables that have a definite complexity analogous to the weight of the nested harmonic sums. We argue that those functions span a general space of functions for the BFKL eigenvalue at any order of the perturbation theory.
Subject
General Physics and Astronomy
Reference34 articles.
1. Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories;Lipatov;Sov. J. Nucl. Phys.,1976
2. On the pomeranchuk singularity in asymptotically free theories
3. Multi-Reggeon Processes in the Yang-Mills Theory;Kuraev;Sov. Phys. JETP,1976
4. The Pomeranchuk Singularity in Quantum Chromodynamics;Balitsky;Sov. J. Nucl. Phys.,1978
5. BFKL pomeron in the next-to-leading approximation