Bulg. J. Phys. vol.40 no.2 (2013), pp. 121-126

Dynamical Volume Element in Scale-Invariant and Supergravity Theories

E. Guendelman1, E. Nissimov2, S. Pacheva2, M. Vasihoun1
1Department of Physics, Ben-Gurion Univ. of the Negev, Beer-Sheva 84105, Israel
2Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria
Abstract. The use in the action integral of a volume element of the form ΦdDx, where Φ is a metric-independent measure density, can yield new interesting results in all types of known generally coordinate-invariant theories: (1) 4-D theories of gravity plus matter fields; (2) reparametrization invariant theories of extended objects (strings and branes); (3) supergravity theories. In case (1) we obtain interesting insights concerning the cosmological constant problem, inflation and quintessence without the fifth force problem. In case (2) the above formalism leads to dynamically induced tension and to string models of non-abelian confinement. In case (3), we show that the modified-measure supergravity generates an arbitrary dynamically induced cosmological constant, i.e., a new mechanism of dynamical supersymmetry breaking.

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