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| Paper IPM / P / 6590 |
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| Abstract: | |
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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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