Space-time foam and the cosmological constant

Aug, 1997
7 pages
Published in:
  • Phys.Rev.Lett. 79 (1997) 4071-4074
e-Print:
Report number:
  • UCD-97-19

Citations per year

1997200420112018202301234
Abstract: (arXiv)
In the saddle point approximation, the Euclidean path integral for quantum gravity closely resembles a thermodynamic partition function, with the cosmological constant Λ\Lambda playing the role of temperature and the ``density of topologies'' acting as an effective density of states. For Λ<0\Lambda<0, the density of topologies grows superexponentially, and the sum over topologies diverges. In thermodynamics, such a divergence can signal the existence of a maximum temperature. The same may be true in quantum gravity: the effective cosmological constant may be driven to zero by a rapid rise in the density of topologies.
  • quantum gravity: Euclidean
  • path integral
  • cosmological constant
  • topology: density
  • thermodynamics
  • saddle-point approximation