Local contribution of a quantum condensate to the vacuum energy density

Details Local contribution of a quantum condensate to the vacuum energy density Local contribution of a quantum condensate to the vacuum energy density

2001-07-23

arxiv.org/abs/gr-qc/0107073v5

Mod.Phys.Lett. A18 (2003) 683-690

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 8 pages. Final journal version

Scientific paper

10.1142/S0217732303009812

We evaluate the local contribution g_[mu nu]L of coherent matter with lagrangian density L to the vacuum energy density. Focusing on the case of superconductors obeying the Ginzburg-Landau equation, we express the relativistic invariant density L in terms of low-energy quantities containing the pairs density. We discuss under which physical conditions the sign of the local contribution of the collective wave function to the vacuum energy density is positive or negative. Effects of this kind can play an important role in bringing about local changes in the amplitude of gravitational vacuum fluctuations - a phenomenon reminiscent of the Casimir effect in QED.

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