A complex-scalar-field model for dark matter
Department of Physics, Drexel University - Philadelphia, PA 19104, USA
Accepted: 16 December 2009
As a consequence of the global definition for the cosmological constant Λ, the empirical relation Λ≅ 2.7 (with the density of all matter and radiation) implies that a stringent condition must be satisfied by the Lagrangian for the non-baryonic (dominant) component of dark matter. It is shown that this stringent condition is satisfied by a complex-scalar-field Lagrangian with Higgs-type quartic nonlinearity. An exact spatially homogenous solution to the associated nonlinear field equation satisfies the relation Λ≅ 2.7 by having an amplitude and an oscillation frequency of the magnitude m≅ 2.4710-3 eV. Interestingly enough, the latter cosmological value for m falls in the range of the neutrino masses, suggesting that the complex-scalar cosmological field may interact with neutrinos and possibly impart mass to them via Yukawa couplings.
PACS: 98.80.Jk – Mathematical and relativistic aspects of cosmology / 98.90.+s – Other topics on stellar systems; interstellar medium; galactic and extragalactic objects and systems; the Universe
© EPLA, 2010