Nonminimal macroscopic models of a scalar field based on microscopic dynamics: Extension of the theory to negative masses

Abstract

The article proposes generalizations of the macroscopic model of plasma of scalar charged particles to the cases of inter-particle interaction with multiple scalar fields and negative effective masses of these particles. The model is based on the microscopic dynamics of a particle at presence of scalar fields. The theory is managed to be generalized naturally having strictly reviewed a series of its key positions depending on the sign of particle masses. Thereby, it is possible to remove the artificial restriction contradicting the more fundamental principle of action functional additivity.

Qualitative and numerical analysis of the cosmological model based on the phantom scalar field with self-interaction. II. Comparative analysis of models of classical and phantom fields

“…It is obvious, that at any values of α m and Λ m ≥ 0 the system of algebraic equations (20) has an unique non-trivial solution just as in papers [13]- [14] x = 0; y = 0 ⇒ M 0 (0, 0).…”

“…It is obvious, that at any values of α m and Λ m ≥ 0 the system of algebraic equations ( 20) has an unique non-trivial solution just as in papers [13]- [14] x = 0; y = 0 ⇒ M 0 (0, 0). (22) Moreover, in case of the same signs of ǫ 2 and α m , the following non-trivial symmetrical solutions are possible:…”

“…In particular, certain features of phantom fields like peculiarities of inter-particle interaction, were revealed in these works. Since 2014 [10], [11], [11], [12], [13], [14] these researches were enriched to expand the theory of scalar and in particular, phantom fields, to the range of negative masses of particles, degenerated Fermi-system, conformally invariant interactions and suchlike. In 2015, the constructed mathematical models of scalar fields were applied to investigation of the cosmological evolution of systems of interacting particles and scalar fields of both classical and phantom types [15], [16], [17].…”

Complete cosmological model based on a asymmetric scalar Higgs doublet

“…Later, these studies were deepened to extend the theory of scalar, including phantom, fields to the sector of negative particle masses, degenerate Fermi systems, conformally invariant interactions, etc. [22], [23], [24], [25], [26]. The mathematical models of scalar fields constructed in this way were applied to the study of the cosmological evolution of systems of interacting particles and scalar fields, both classical and phantom types [27], [28], [29].…”

A qualitative and numerical analysis of cosmological models based on assymetric scalar doublet: classical + phantom scalar field. I. A case of minimally interacting scalar fields: the qualitative analysis

“…Later, these researches were elaborated for propagation of the theory of scalar fields including phantom ones to a sector of non-negative masses of particles, degenerated Fermi -systems, conformal invariant interactions etc. [23], [24], [25], [26], [27]. Mathematical models of scalar fields being constructed in this way, were applied to investigation of the cosmological evolution of systems of interacting particles and scalar fields of both classical and phantom types [28], [29], [30].…”