Abstract

A scalar field Lagrangian is considered in the curved space-time to which a Hamiltonian determining nonzero vacuum field value is added. The initial Lagrangian can be expressed as a sum of Lagrangians for the constant scalar field component and perturbation. The first Lagrangian can be considered as a Lagrangian for the Einstein gravitational field in vacuum. The problem of renormalization of the constant scalar field component is investigated. It is demonstrated that in the case of conformal relation of the scalar field to the space-time curvature, there exists a unique value of the scalar space curvature for which the field can be considered constant (field perturbations do not result in renormalization of the constant component). This curvature value determines the unique value of the equilibrium nuclide density. A correlation of the examined Lagrangian parameters with the integral parameters of the Solar system is discussed.

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