Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-10
Nucl.Phys. B581 (2000) 341-390
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, LaTex
Scientific paper
10.1016/S0550-3213(00)00227-3
A group theoretical procedure, introduced earlier (hep-th/9901090), to decompose bilocal light-ray operators into (harmonic) operators of definite twist is applied to the case of arbitrary 2nd rank tensors. As a generic example the bilocal gluon operator is considered which gets contributions of twist-2 up to twist-6 from four different symmetry classes characterized by conrresponding Young tableaus; also the twist decomposition of the related vector and scalar operators is considered. In addition, we extend these reselts to various trilocal light-ray operators, like the Shuryak-Vainshtein, the three-gluon and the four-quark operators, which are required for the consideration of higher twist distribution amplitudes. The present results rely on the knowledge of harmonic tensor polynomials of any order n which habe been determined up to the case of 2nd rank symmetric tensors for arbitrary space-time dimension.
Geyer Bodo
Lazar Markus
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