Decomposition of nonlocal light-cone operators into harmonic operators of definite twist

Details Decomposition of nonlocal light-cone operators into harmonic operators of definite twist Decomposition of nonlocal light-cone operators into harmonic operators of definite twist

1999-01-20

arxiv.org/abs/hep-th/9901090v2

Nucl.Phys. B559 (1999) 339-377

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, AMSTEX Improvement of expressions for twist-3 and twist-4 tensor operators. to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(99)00334-X

Bilocal light-ray operators which are Lorentz scalars, vectors or antisymmetric tensors, and which appear in various hard scattering QCD processes, are decomposed into operators of definite twist. These operators are harmonic tensor functions and their Taylor expansion consists of (traceless) local light-cone operators with span irreducible representations of the Lorentz group with definite spin j and common geometric twist (= dimension - spin). Some applications concerning the nonforward matrix elements of these operators and the generalization fo conformal light-cone operators of definite twist is considered. The group theoretical background of the method has been made clear.

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