Parton Distribution Functions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk at Lattice 96 Conference, St. Louis, June 1996. 12 pages including 15 figures; Latex with epsf.tex and Elsevier style esp

Scientific paper

10.1016/S0920-5632(96)00600-7

Parton distribution functions give the probability to find partons (quarks and gluons) in a hadron as a function of the fraction x of the proton's momentum carried by the parton. They are conventionally defined in terms of matrix elements of certain operators. They are determined from experimental results on short distance scattering of the partons. Integrals of these functions weighted with x^n are calculable using lattice QCD. Some simple models for their behavior have implications that could also be tested in lattice QCD.

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