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Non local lagrangians: The pion

AuthorsNoguera, Santiago
KeywordsElectromagnetic 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
Issue DateJan-2007
PublisherWorld Scientific Publishing
CitationInternational Journal of Modern Physics E - Nuclear Physics 16(1): 97-132 (2007)
AbstractWe 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.
Description36 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
Publisher version (URL)http://dx.doi.org/10.1142/S021830130700565X
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