From Bethe–Salpeter Wave functions to Generalised Parton Distributions

We review recent works on the modelling of generalised parton distributions within the Dyson–Schwinger formalism. We highlight how covariant computations, using the impulse approximation, allows one to fulfil most of the theoretical constraints of the GPDs. Specific attention is brought to chiral pr...

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Veröffentlicht in:Few-body systems 2016-09, Vol.57 (9), p.729-772
Hauptverfasser: Mezrag, C., Moutarde, H., Rodríguez-Quintero, J.
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creator Mezrag, C.
Moutarde, H.
Rodríguez-Quintero, J.
description We review recent works on the modelling of generalised parton distributions within the Dyson–Schwinger formalism. We highlight how covariant computations, using the impulse approximation, allows one to fulfil most of the theoretical constraints of the GPDs. Specific attention is brought to chiral properties and especially the so-called soft pion theorem, and its link with the Axial-Vector Ward–Takahashi identity. The limitation of the impulse approximation are also explained. Beyond impulse approximation computations are reviewed in the forward case. Finally, we stress the advantages of the overlap of lightcone wave functions, and possible ways to construct covariant GPD models within this framework, in a two-body approximation.
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subjects Approximation
Atomic
Computation
Double Distributions
Dyson-Schwinger Equations
Formalism
Generalised Parton Distributions
Hadrons
Heavy Ions
Impulses
Mathematical analysis
Mathematical models
MATHEMATICS AND COMPUTING
Molecular
Nuclear Experiment
Nuclear Physics
Optical and Plasma Physics
Particle and Nuclear Physics
Partons
PDF
Physics
Physics and Astronomy
pion
Pions
Review
Wave functions
title From Bethe–Salpeter Wave functions to Generalised Parton Distributions
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