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Cosmological constant and vacuum energy

✍ Scribed by G.E. Volovik

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
127 KB
Volume
14
Category
Article
ISSN
0003-3804

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✦ Synopsis

The general thermodynamic analysis of the quantum vacuum, which is based on our knowledge of the vacua in condensed-matter systems, is consistent with the Einstein earlier view on the cosmological constant. In the equilibrium Universes the value of the cosmological constant is regulated by matter. In the empty Universe, the vacuum energy is exactly zero, λ = 0. The huge contribution of the zero point motion of the quantum fields to the vacuum energy is exactly cancelled by the higher-energy degrees of freedom of the quantum vacuum. In the equilibrium Universes homogeneously filled by matter, the vacuum is disturbed, and the energy density of the vacuum becomes proportional to that of matter, λ = ρvac ∼ ρmatter. This consideration applies to any vacuum in equilibrium irrespective of whether the vacuum is false or true, and is valid both in Einstein's general theory of relativity and within the special theory of relativity, i.e. in a world without gravity.

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✍ N.J. PopΕ‚awski πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 124 KB

We present a simple and natural way to derive the observed small, positive cosmological constant from the gravitational interaction of condensing fermions. In the Riemann-Cartan spacetime, torsion gives rise to the axial-axial vector four-fermion interaction term in the Dirac Lagrangian for spinor f