1994/03/02 by M. Bergmann, Bergmann, M., N. G. Stefanis +1 · 1 citation
Physics and Astronomy · #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9403210
5 pages, RUB-TPII-47/93
arxiv created 1994/03/02 · arxiv updated 2009/11/30
We study the Brodsky-Lepage evolution equation for the nucleon and construct an eigenfunction basis by including contributions of up to polynomial order 9. By exployting the permutation symmetry P13 of these eigenfunctions, a basis of symmetrized Appell polynomials can be constructed in which the diagonalization of the evolution kernel is considerably simplified. The anomalous dimensions are calculated and found to follow a power-law behavior. As an application, we consider the Brodsky-Huang-Lepage ansatz. An algorithm is developed to properly incorporate such higher order contributions in a systematic way.