TL;DR
This paper derives an exact, renormalizable, and confining infrared QCD model from the QCD Lagrangian, aligning with recent lattice and Dyson-Schwinger results, and fixing parameters through low-momentum behavior.
Contribution
It provides a derivation of an infrared QCD model from first principles, establishing a connection with the Nambu-Jona-Lasinio model and recent numerical findings.
Findings
The derived model is renormalizable and confining.
Parameters are fixed by low-momentum QCD data.
The model aligns with previous proposals after removing ultraviolet contributions.
Abstract
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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