English

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

High Energy Physics - Theory 2009-10-31 v2 High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9901090,
  title  = {Decomposition of nonlocal light-cone operators into harmonic operators of definite twist},
  author = {B. Geyer and M. Lazar and D. Robaschik},
  journal= {arXiv preprint arXiv:hep-th/9901090},
  year   = {2009}
}

Comments

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