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Título: | Non local lagrangians: The pion |
Autor: | Noguera, Santiago CSIC ORCID | Palabras clave: | Electromagnetic form factors Dyson-Schwinger Equations Vector-meson Dominance Nonlocal Nambu-Jona Lasinio (NJL) Model Quark model Gauge theories Parton distributions Hadron physics [PACS] Nuclear reactions: relativistic models [PACS] Bound and unstable states; Bethe-Salpeter equations [PACS] Elastic and Compton scattering |
Fecha de publicación: | ene-2007 | Editor: | World Scientific Publishing | Citación: | International Journal of Modern Physics E - Nuclear Physics 16(1): 97-132 (2007) | Resumen: | We define a family of non local and chirally symmetric low energy lagrangians motivated by theoretical studies on Quantum Chromodynamics. These models lead to quark propagators with non trivial momentum dependencies. We define the formalism for two body bound states and apply it to the pion. We study the coupling of the photon and W bosons with special attention to the implementation of local gauge invariance. We calculate the pion decay constant recovering the Goldberger-Treiman and the Gell-Mann-Oakes-Renner relations. We recover a form of the axial current consistent with PCAC. Finally we study the pion form factor and we construct the operators involved in its parton distribution. | Descripción: | 36 pages, 12 figures.-- PACS nrs.: 24.10.Jv, 11.10.St, 13.40.Gp, 13.60.Fz.-- ISI Article Identifier: 000250862200006.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0502171 | Versión del editor: | http://dx.doi.org/10.1142/S021830130700565X | URI: | http://hdl.handle.net/10261/9169 | DOI: | 10.1142/S021830130700565X | ISSN: | 0218-3013 |
Aparece en las colecciones: | (IFIC) Artículos |
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