Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-03-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, RUB-TPII-47/93
Scientific paper
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 $P_{13}$ 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.
Bergmann Marcel
Stefanis N. G.
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