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Meson loops in the Nambu - Jona-Lasinio model

Nikolov, E N, Broniowski, W, Christov, C V, Ripka, G, Göke, K

Open publisher page 35 citations

Abstract

We calculate the effects of meson loops in the vacuum sector of the Nambu-Jona-Lasinio model. Using the effective action formalism we take consistently all next-to-leading-order 1/N_c terms into account. This leads to a symmetry-conserving approach, in which all features of spontaneously broken chiral symmetry, such as the Goldstone theorem, the Goldberger-Treiman, and the Gell-Mann-Oakes-Renner relations are preserved. Contributions to \\langle \\overline{q}q \\rangle and F_\\pi are calculated, and are shown to be substantial, at the level of \\sim 30\\%, consistent with the 1/N_c expansion.

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What this paper is about

We calculate the effects of meson loops in the vacuum sector of the Nambu-Jona-Lasinio model. Using the effective action formalism we take consistently all next-to-leading-order 1/N_c terms into account. This leads to a symmetry-conserving approach, in which all features of spontaneously broken chiral symmetry, such as the Goldstone theorem, the Goldberger-Treiman, and the Gell-Mann-Oakes-Renner relations are preserved. Contributions to \\langle \\overline{q}q \\rangle and F_\\pi are calculated, and are shown to be substantial, at the level of \\sim 30\\%, consistent with the 1/N_c expansion.

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Available abstract

We calculate the effects of meson loops in the vacuum sector of the Nambu-Jona-Lasinio model. Using the effective action formalism we take consistently all next-to-leading-order 1/N_c terms into account. This leads to a symmetry-conserving approach, in which all features of spontaneously broken chiral symmetry, such as the Goldstone theorem, the Goldberger-Treiman, and the Gell-Mann-Oakes-Renner relations are preserved. Contributions to \\langle \\overline{q}q \\rangle and F_\\pi are calculated, and are shown to be substantial, at the level of \\sim 30\\%, consistent with the 1/N_c expansion.

Key concepts: Nambu–Jona-Lasinio model, Chiral perturbation theory, Physics, Formalism (music), Chiral symmetry, Meson, Mathematical physics, Goldstone boson

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