Duality and the cosmological constant
نویسنده
چکیده
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 smalldistance regime. In the large-distance regime duality breaking can be introduced by giving a back-ground value to φ and a back-ground direction to Nμ. 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 present observational bound for the cosmological constant.
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