Duality and the cosmological constant

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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To appear in International Journal of Theoretical Physics, Vol 36, No. 9, (1997)

Scientific paper

10.1007/BF02435959

A dynamical theory is studied in which a scalar field $\phi$ in Einstein- Minkowski space is coupled to the four-velocity $N_{\mu}$ 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 $\phi$ at some universal length in the small-distance regime. In the large-distance regime duality breaking can be introduced by giving a back- ground value to $\phi$ and a back-ground direction to $N_{\mu}$. 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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