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The European Physical Journal C

, Volume 66, Issue 1–2, pp 307–324 | Cite as

Cosmological constant in a model with superstring-inspired E 6 unification and shadow θ-particles

  • C. R. Das
  • L. V. Laperashvili
  • A. TureanuEmail author
Regular Article - Theoretical Physics

Abstract

We have developed the concept of parallel existence of the ordinary (O-) and mirror (M-), or shadow (Sh-) worlds. In the first part of the paper we consider a mirror world with broken mirror parity and the breaking E 6→SU(3)3 in both worlds. We show that in this case the evolutions of coupling constants in the O- and M-worlds are not identical, having different parameters for similar evolutions. E 6 unification, inspired by superstring theory, restores the broken mirror parity at the scale ∼1018 GeV. With the aim to explain the tiny cosmological constant, in the second part we consider the breakings: E 6→SO(10)×U(1) Z in the O-world, and E6→SU(6)′×SU(2)′ θ in the Sh-world. We assume the existence of shadow θ-particles and the low-energy symmetry group SU(3)′ C ×SU(2)′ L ×SU(2)′ θ ×U(1)′ Y in the shadow world, instead of the Standard Model. The additional non-Abelian SU(2)′ θ group with massless gauge fields, “thetons”, has a macroscopic confinement radius 1/Λ θ . The assumption that Λ θ ≈2.3⋅10−3 eV explains the tiny cosmological constant given by recent astrophysical measurements. In this way the present work opens the possibility to specify a grand unification group, such as E 6, from cosmology.

Keywords

Dark Matter Higgs Boson Dark Energy Gauge Group Cosmological Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag / Società Italiana di Fisica 2009

Authors and Affiliations

  1. 1.Centre for Theoretical Particle PhysicsTechnical University of LisbonLisbonPortugal
  2. 2.The Institute of Theoretical and Experimental PhysicsMoscowRussia
  3. 3.Department of PhysicsUniversity of Helsinki and Helsinki Institute of PhysicsHelsinkiFinland

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