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The equations of the conformal field theory of gravitation with the Dirac'sscalar field in Weyl-Cartan spacetime have been received. Exact solutions forDirac's scalar field for an early Universe have been derived. Intensivedecrease of physical vacuum energy (dark energy) is obtained with the Dirac'sscalar field as the effective cosmological "constant".

Dirac's scalar field as an effective component of the dark energy and an evolution of the cosmological "constant"