Spontaneous generation of the Nambu --Jona-Lazinio interaction in quantum chromodynamics with two light quarks

Abstract

In QCD with two light quarks with application of Bogolubov quasi-averages approach a possibility of spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lazinio model, is studied. Compensation equations for form-factor of the interaction is shown to have the non-trivial solution leading to theory with two parameters: average low-energy value of ${\alpha }_s$ and dimensional parameter $f_{\pi }$. All other parameters: the current and the constituent quark masses, the quark condensate, mass of $\pi$ meson, mass of $\sigma$ meson and its width are expressed in terms of the two initial parameters in satisfactory correspondence to experimental phenomenology. The results being obtained allow to state an applicability of the approach in the low-energy hadron physics and promising possibilities of its applications to other problems.

arXiv comment16 pages, 1 table, 3 figures

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Cited by in corpus (10)

• NJL model derived from QCD
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• LHC would-be $\gamma \gamma$ excess as a non-perturbative effect of the electro-weak interaction
• Infrared non-perturbative QCD running coupling from Bogolubov approach
• NJL interaction derived from QCD: vector and axial-vector mesons
• Non-perturbative solutions in the electro-weak theory with $\bar{t}t$ condensate and the $t$-quark mass
• Calculation of the contribution to muon $g-2$ due to the effective anomalous three boson interaction and the new experimental result
• CDF Wjj anomaly as a non-perturbative effect of the electro-weak interaction
• Bogoliubov compensation approach in QCD and in the electroweak theory
• Non-perturbative approach to the problem of anomalous FB asymmetry in top pair production at TEVATRON