Duality and the cosmological constant |
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Authors: | Hadi Salehi |
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Institution: | (1) Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-1795, Niavaran-Tehran, Iran;(2) Arnold Sommerfeld Institute for Mathematical Physics, TU Claustha, D-38678 Clausthal-Zellerfeld, Germany |
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Abstract: | A dynamical theory is studied in which a scalar field ϕ in Einstein-Minkowski space is coupled to the four-velocityN
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 small-distance regime. In the large-distance regime
duality breaking can be introduced by giving a background value to ϕ and a background direction toN
μ. 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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Keywords: | |
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