A complex-scalar-field model for dark matter

作者：Rosen G^*

来源：EPL, 2010, 89(1): 19002.

DOI：10.1209/0295-5075/89/19002

As a consequence of the global definition for the cosmological constant Lambda, the empirical relation Lambda congruent to 2.7 kappa rho(0) (with rho(0) 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 Lambda congruent to 2.7 kappa rho(0) by having an amplitude and an oscillation frequency of the magnitude m congruent to 2.47 x 10(-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.

• 出版日期2010-1