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Rapidity divergences and valid definitions of parton densities · Around

2008

Rapidity divergences and valid definitions of parton densities

Collins, John

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Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization.

I review these and other related divergences, and show how the definitions of parton densities can be modified to remove the divergences.
A modified definition is not only essential for many phenomenological applications of QCD, but also concerns the treatment of parton densities in non-perturbative approaches.
The necessity of modifications in the definition of a parton density also entails corrections in the formulation of light-front quantization for gauge theories.

Built on

I.O. Cherednikov and N.G. Stefanis, Phys. Rev. D 77
Original
1955
Earlier work this paper cites.
J.C. Collins and D.E. Soper, Nucl. Phys. B 194
1982
Earlier work this paper cites.
J.C. Collins and D.E. Soper, Nucl. Phys. B 193
1983
Earlier work this paper cites.
J.C. Collins, D.E. Soper and G. Sterman, Nucl. Phys. B 250
1985
Earlier work this paper cites.

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