scholarly journals THE COSMOLOGICAL ORIGIN OF THE NAMBU-JONA-LASINIO MODEL

2011 ◽  
Vol 03 ◽  
pp. 163-169
Author(s):  
M. NOVELLO
Keyword(s):  
Linear Equation ◽  
Gravitational Interaction ◽  
Vacuum State ◽  
Extended Version ◽  
Spinor Fields ◽  
Non Linear Equation ◽  
Mach Principle ◽  
Non Linear ◽  
The Universe

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 Refs. 1, 2. 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 Ψ arises as a consequence of the gravitational interaction of Ψ with the rest-of-the-universe.

scholarly journals THE COSMOLOGICAL ORIGIN OF THE NAMBU–JONA-LASINIO MODEL

2011 ◽  
Vol 26 (22) ◽  
pp. 3781-3787 ◽  
Author(s):  
M. NOVELLO
Keyword(s):  
Linear Equation ◽  
Gravitational Interaction ◽  
Vacuum State ◽  
Extended Version ◽  
Spinor Fields ◽  
Non Linear Equation ◽  
Mach Principle ◽  
Non Linear ◽  
The Universe

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 Refs. 1, 2. 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 Ψ arises as a consequence of the gravitational interaction of Ψ with the rest-of-the-universe.

scholarly journals ON POSSIBLE GEOMETRIC AND ASTROPHYSICAL EFFECTS OF NONLINEAR SPINOR FIELDS IN THE MEGAMIR, MACROWORLD AND MICROWORLD

Metaphysics ◽  
2020 ◽  
pp. 82-93
Author(s):  
V. G Krechet
Keyword(s):  
General Relativity ◽  
Gravitational Interaction ◽  
Space Time ◽  
Elementary Particles ◽  
Nonlinear Spinor ◽  
Evolution Of The Universe ◽  
Spinor Fields ◽  
Astrophysical Objects ◽  
Local Space ◽  
The Universe

In this article, within the framework of general relativity, the possible effect of the gravitational interaction of Dirac nonlinear spinor fields on the evolution of the Universe, on the formation of astrophysical objects and on the formation of the geometry of the local space-time of elementary particles with spin ħ / 2 is considered.

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