Abstract
In the framework of the Einstein–Dirac-axion-aether theory we consider the quartet of self-interacting cosmic fields, which includes the dynamic aether, presented by the unit timelike vector field, the axionic dark mater, described by the pseudoscalar field, the spinor field associated with fermion particles, and the gravity field. The key, associated with the mechanism of self-interaction, is installed into the modified periodic potential of the pseudoscalar (axion) field constructed on the base of a guiding function, which depends on one invariant, one pseudo-invariant and two cross-invariants containing the spinor and vector fields. The total system of the field equations related to the isotropic homogeneous cosmological model is solved; we have found the exact solutions for the guiding function for three cases: nonzero, vanishing and critical values of the cosmological constant. Based on these solutions, we obtained the expressions for the effective mass of spinor particles, interacting with the axionic dark matter and dynamic aether. This effective mass is shown to bear imprints of the cosmological epoch and of the state of the cosmic dark fluid in that epoch.
Highlights
The second element of the theory is the axionic dark matter, the key participant of the cosmological events
Follow the approach presented in the series of works [40,41,42,43,44]; the authors of these works have focused on the coupling of the scalar and spinor fields via the kinetic term ∇kφ∇kφ · F(S, P, . . .), so one can say that we extend this approach considering the axion field instead of scalar, introducing the vector field related to the dynamic aether, and modifying the potential V instead of the kinetic term
Whenever we remember the grand event: the detection of neutrinos emitted due to the explosion of Supernova 1987A, we try to imagine what could happen during the 168.000 light-years traveling of that neutrinos from the Large Magellanic Cloud to the Earth? The neutrinos born in such catastrophes could interact with dark matter and dark energy, and one can try to find the fingerprints of the cosmic dark fluid in the data of neutrino observations
Summary
The second element of the theory is the axionic dark matter, the key participant of the cosmological events (see, e.g., [3,4,5] for references, historical motives and mathematical details). We hope to extend the model, respectively, in the work, but we restrict our-selves by the scalars of zero order in derivative, according to the terminology of the Effective field theory [49]. Keeping in mind this idea, we do not include into the Lagrangian the pseudoscalar ∇kφ(ψγ kψ), and the scalar ∇kφ(ψγ kγ 5ψ). 4 we discuss the properties of the obtained effective mass attributed to the spinor field coupled to the axionic dark matter.
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