Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-26
Int.J.Mod.Phys. A20 (2005) 4683-4689
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, no figures, Latex2e file using ws-ijmpa.cls file. Invited talk given at the Brown University VIIIth Workshop on QCD,
Scientific paper
10.1142/S0217751X05028387
A mechanism for suppressing the cosmological constant is described, using a superconducting analogy in which fermions coupled to gravitons are in an unstable false vauum. The coupling of the fermions to gravitons and a screened attractive interaction among pairs of fermions generates fermion condensates with zero momentum and a phase transition induces a non-perturbative transition to a true vacuum state. This produces a positive energy gap $\Delta$ in the vacuum energy identified with $\sqrt{\Lambda}$, where $\Lambda$ is the cosmological constant. In the strong coupling limit, a large cosmological constant induces a period of inflation in the early universe, followed by a weak coupling limit in which $\sqrt{\Lambda}$ vanishes exponentially fast as the universe expands due to the dependence of the energy gap on the Fermi surface fermions, predicting a small cosmological constant in the early universe.
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