dorsal/arxiv
View SchemaLight-Front Dynamics and Generalized Parton Distributions
| Authors | B. C. Tiburzi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407005 |
| URL | https://arxiv.org/abs/nucl-th/0407005 |
Abstract
In this work we report on using light-front dynamics to describe generalized parton distributions, which are correlation functions encountered in virtual Compton scattering at large momentum transfer. This two photon process requires pair annihilation contributions which are subtle to handle in light-front dynamics. We are careful to derive such contributions in the light-front Bethe-Salpeter formalism. This derivation highlights the connection to the Fock space picture as well as provides a toy model for generalized parton distributions.Ultimately we use light-front dynamics to build a phenomenological parametrization for the proton's generalized parton distributions. This task is non-trivial due to the field theoretic constraints required of these distributions. To meet the constraints imposed by Lorentz covariance, we approach generalized parton distributions from the perspective of double distributions. Despite avid phenomenological use, surprisingly little work has been done to calculate double distributions. We first focus on a number of simple pedagogical examples and demonstrate how double distributions can be correctly determined. The double distributions we derive, including those for the proton, satisfy known constraints and are adequate for phenomenological estimates of cross sections. The models used allow one to study the interplay between the light-front formulation and Lorentz covariance.
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"abstract": "In this work we report on using light-front dynamics to describe generalized\nparton distributions, which are correlation functions encountered in virtual\nCompton scattering at large momentum transfer. This two photon process requires\npair annihilation contributions which are subtle to handle in light-front\ndynamics. We are careful to derive such contributions in the light-front\nBethe-Salpeter formalism. This derivation highlights the connection to the Fock\nspace picture as well as provides a toy model for generalized parton\ndistributions.Ultimately we use light-front dynamics to build a\nphenomenological parametrization for the proton\u0027s generalized parton\ndistributions. This task is non-trivial due to the field theoretic constraints\nrequired of these distributions. To meet the constraints imposed by Lorentz\ncovariance, we approach generalized parton distributions from the perspective\nof double distributions. Despite avid phenomenological use, surprisingly little\nwork has been done to calculate double distributions. We first focus on a\nnumber of simple pedagogical examples and demonstrate how double distributions\ncan be correctly determined. The double distributions we derive, including\nthose for the proton, satisfy known constraints and are adequate for\nphenomenological estimates of cross sections. The models used allow one to\nstudy the interplay between the light-front formulation and Lorentz covariance.",
"arxiv_id": "nucl-th/0407005",
"authors": [
"B. C. Tiburzi"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Light-Front Dynamics and Generalized Parton Distributions",
"url": "https://arxiv.org/abs/nucl-th/0407005"
},
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