  We investigate Euclidean wormholes in Gauss-Bonnet-dilaton gravity to explain
the creation of the universe from nothing. We considered two types of dilaton
couplings (i.e., the string-inspired model and the Gaussian model) and we
obtained qualitatively similar results. There can exist Euclidean wormholes
that explain the possible origin of our universe, where the dilaton field is
located over the barrier of dilaton potential. This solution can exist even if
dilaton potential does not satisfy slow-roll conditions. In addition, the
probability is higher than that of the Hawking-Moss instanton with the same
final condition. Therefore, Euclidean wormholes in Gauss-Bonnet-dilaton gravity
are a possible and probable scenario, which explains the origin of our
universe.
