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Matter non-conservation in the universe and dynamical dark energy. (English) Zbl 1266.83187

Summary: In an expanding universe, the vacuum energy density \(\rho_\Lambda\) is expected to be a dynamical quantity. In quantum field theory in curved spacetime, \(\rho_\Lambda\) should exhibit a slow evolution, determined by the expansion rate of the universe H. Recent measurements on the time variation of the fine-structure constant and of the proton-electron mass ratio suggest that the basic quantities of the standard model, such as the QCD scale parameter \(\Lambda_{QCD}\), may not be conserved in the course of the cosmological evolution. The masses of the nucleons \(m_N\) and of the atomic nuclei would also be affected. Matter is not conserved in such a universe. These measurements can be interpreted as a leakage of matter into vacuum or vice versa. We point out that the amount of leakage necessary to explain the measured value of \(\dot{m}_N/m_N\) could be of the same order of magnitude as the observationally allowed value of \(\dot{\rho}_\Lambda/\rho_\Lambda\), with a possible contribution from the dark matter particles. The dark energy in our universe could be the dynamical vacuum energy in interaction with ordinary baryonic matter as well as with dark matter.

MSC:

83F05 Relativistic cosmology
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
81V05 Strong interaction, including quantum chromodynamics
85A40 Astrophysical cosmology
81T20 Quantum field theory on curved space or space-time backgrounds
83C47 Methods of quantum field theory in general relativity and gravitational theory