The cosmological origin of the Nambu-Jona-Lasinio model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1142/S0217751X11054243

Recently a mechanism to generate mass from gravitational interaction, based on Mach principle, according to which the inertia of a body is a property of matter as well as of the background provided by the rest-of-the-universe was presented in \cite{novello} \cite{novello2}. In these papers such an idea was realized for scalar and spinor fields treating the rest-of-the-universe in its vacuum state. In the present paper, using an extended version of Mach principle, the same strategy will be applied to show how the Heisenberg-Nambu-Jona-Lasinio non-linear equation for fermions $\Psi$ arises as a consequence of the gravitational interaction of $ \Psi$ with the rest-of-the-universe.

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