Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-03
Int.J.Mod.Phys.E18:693-703,2009
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, 2 figures. Version accepted for publication in International Journal of Modern Physics E
Scientific paper
10.1142/S0218301309012781
We prove that Nambu-Jona-Lasinio model is an exact description of infrared QCD deriving it from QCD Lagrangian. The model we obtain is renormalizable and confining but, taking very small momenta fixes completely all the parameters of the Nambu-Jona-Lasinio model through those of QCD. The choice of the infrared propagator is done consistently with recent numerical results from lattice and Dyson-Schwinger equations for Yang-Mills theory. The model we get coincides, once the ultraviolet contribution is removed, with the one proposed by Langfeld, Kettner and Reinhardt [Nucl. Phys. A {\bf 608}, 331 (1996)].
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