We study the geometry of Euclidean instantons in loop quantum cosmology (LQC)
such as those relevant for the no-boundary proposal. Confining ourselves to the
simplest case of a cosmological constant in minisuperspace cosmologies, we
analyze solutions of the semiclassical (Euclidean) path integral in LQC. We
find that the geometry of LQC instantons have the peculiar feature of an
infinite tail which distinguishes them from Einstein gravity. Moreover, due to
quantum-geometry corrections, the small-a behaviour of these instantons seem to
naturally favor a closing-off of the geometry in a regular fashion as was
originally proposed for the no-boundary wavefunction.Comment: 21 pages, comments welcom
