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Quark Imaging in the Proton Via Quantum Phase-Space Distributions

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arxiv hep-ph/0307383 v1 pith:RAY3GDGY submitted 2003-07-31 hep-ph

classification hep-ph
keywords distributionswignerpartonprotonquantumquarkfunctionsgluons
verification ladder T0 review T1 audit T2 compute T3 formal

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We develop the concept of quantum phase-space (Wigner) distributions for quarks and gluons in the proton. To appreciate their physical content, we analyze the contraints from special relativity on the interpretation of elastic form factors, and examine the physics of the Feynman parton distributions in the proton's rest frame. We relate the quark Wigner functions to the transverse-momentum dependent parton distributions and generalized parton distributions, emphasizing the physical role of the skewness parameter. We show that the Wigner functions allow to visualize quantum quarks and gluons using the language of the classical phase space. We present two examples of the quark Wigner distributions and point out some model-independent features.

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Cited by 17 Pith papers

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