Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Wave function of simple universes analytically continued from negative to positive potentials


Lehners,  Jean-Luc
Theoretical Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

(Preprint), 17MB

(Publisher version), 2MB

Supplementary Material (public)
There is no public supplementary material available

Lehners, J.-L. (2021). Wave function of simple universes analytically continued from negative to positive potentials. Physical Review D, 104(6): 063527. doi:10.1103/PhysRevD.104.063527.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B5FA-2
We elaborate on the correspondence between the canonical partition function
in asymptotically AdS universes and the no-boundary proposal for positive
vacuum energy. For the case of a pure cosmological constant, the analytic
continuation of the AdS partition function is seen to define the no-boundary
wave function (in dS) uniquely in the simplest minisuperspace model. A
consideration of the AdS gravitational path integral implies that on the dS
side, saddle points with Hawking-Moss/Coleman-De Luccia-type tunnelling
geometries are irrelevant. This implies that simple topology changing
geometries do not contribute to the nucleation of the universe. The analytic
AdS/dS equivalence holds up once tensor fluctuations are added. It also works,
at the level of the saddle point approximation, when a scalar field with a mass
term is included, though in the latter case, it is the mass that must be
analytically continued. Our results illustrate the emergence of time from space
by means of a Stokes phenomenon, in the case of positive vacuum energy.
Furthermore, we arrive at a new characterisation of the no-boundary condition,
namely that there should be no momentum flux at the nucleation of the universe.