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Paper   IPM / P / 6590
School of Physics
  Title:   Duality and Cosmological Constant
  Author(s):  H. Salehi
  Status:   Published
  Journal: Int. J. Theor. Phys.
  No.:  86
  Vol.:  36
  Year:  1997
  Pages:   2035-2042
  Supported by:  IPM
  Abstract:
A dynamical theory is studied in which a scalar field ϕ in Einstein-Minkowski space is coupled to the four-velocity Nμ of a preferred inertial observer in that space. As a consistent requirement on this coupling we study a principle of duality invariance of the dynamical mass term of ϕ at some universal length in the small-distance regime. In the large-distance regime duality breaking can be introduced by giving a background value to ϕ and a background direction to N u. It is shown that, in an appropriate approximation, duality breaking can be related to the emergence of a characteristic phase in which the condensation of the ground state allows massive excitations with a characteristic scale of squared mass which agrees with the present observational bound for the cosmological constant.

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