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Paper IPM / P / 6590  


Abstract:  
A dynamical theory is studied in which a scalar field ϕ in
EinsteinMinkowski space is coupled to the fourvelocity N_{μ} 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 smalldistance regime. In the
largedistance 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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