Dark matter, mirror world, and E 6 unification

Details Dark matter, mirror world, and E 6 unification Dark matter, mirror world, and E 6 unification

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009pan....72..377d&link_type=abstract

Physics of Atomic Nuclei, Volume 72, Issue 2, pp.377-384

Physics

4

12.60.Rc, 12.10.-G, 14.80.Hv, 11.25.Wx, 11.10.Hi

Scientific paper

The idea that the ordinary (O) 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 constants α'{/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 ˜ 1018 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.

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