Large-order trend of the anomalous-dimensions spectrum of trilinear twist-3 quark operators
arXiv:hep-ph/9903339 · doi:10.1016/S0370-2693(99)00552-3
Abstract
The anomalous dimensions of trilinear-quark operators are calculated at leading twist by diagonalizing the one-gluon exchange kernel of the renormalization-group type evolution equation for the nucleon distribution amplitude. This is done within a symmetrized basis of Appell polynomials of maximum degree for (up to order 400) by combining analytical and numerical algorithms. The calculated anomalous dimensions form a degenerate system, whose upper envelope shows asymptotically logarithmic behavior.
12 pages; 1 table; 4 figures as PS files; RevTex style