Title: The cosmological origin of the Nambu-Jona-Lasinio model Show Chinese title

Title: Nambu-Jona-Lasinio 模型的宇宙学起源

Abstract: 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. Show Chinese abstract

Abstract: 最近，基于马赫原理提出了一种从引力相互作用中产生质量的机制，根据该原理，物体的惯性不仅是物质的属性，也是剩余宇宙背景的属性，并在文献\cite{novello} \cite{novello2} 中进行了阐述。 在这些论文中，以真空状态处理剩余宇宙，这一想法被实现了出来，适用于标量场和旋量场。 在本文中，我们将采用马赫原理的扩展版本，使用相同的策略来展示如何由$ \Psi$与剩余宇宙之间的引力相互作用导出费米子的海森堡-南部-约纳-拉辛比非线性方程$\Psi$。