Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-03-12
Phys.Lett. B458 (1999) 109-116
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages; 1 table; 4 figures as PS files; RevTex style
Scientific paper
10.1016/S0370-2693(99)00552-3
The anomalous dimensions of trilinear-quark operators are calculated at leading twist $t=3$ 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 $M$ for $M\gg 1$ (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.
Bergmann Marcel
Schroers Wolfram
Stefanis N. G.
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