Dark Matter, Mirror World, and E_6 Unification

摘要

The idea that the ordinary (0) and mirror (M) worlds exist simultaneously is developed. It is shown that, in the case of a violated mirror parity (MP), the renormalization-group evolution of the coupling constants, which is represented in the O world by the dependence α_i~(-1)(μ) (μ is an energy variable), is not identical to the evolution of the coupling constantsα_i~(-1)(μ) in the M world. Here, the index i labels the symmetry group under consideration, while a dash labels quantities defined in the M world. It is assumed that E_6 unification predicted by superstring theory restores MP at the unification scale M_(SGUT)10~(18) GeV, this inevitably leading to the difference in the violation of E_6 unification in the O and M worlds at lower energies: E_6→SO(10)×U(1)_Z and E′_6→SU(6)′× SU(2)′_Z. Considering only asymptotically free theories, we present the evolution of all the inverse coupling constants α_i~(-1)(μ)in the one-loop approximation. In dealing with the M world involving MP violation, we then arrive at the model of the accelerating expansion of our Universe, where the axion ("acceleron") belongs to the SU(2)′z group of the M world. The coupling constant g′_z, which grows indefinitely at the scale Λ′_Z～10~(-3) eV, is associated with this group. Within this theory, our Universe is in the false vacuum of the M world, in agreement with the phenomenologically observed cosmological constant of about (3×10~(-3)eV)~4.