Quantum birth of the universe with minimal scalar field energy.
Abstract
On the basis of the WheelerDeWitt (WDW) equation with a dependence on two arguments, the scale factor and a scalar field, the authors consider the quantum birth of a closed Friedmann Universe. The wave function of the Universe in the quasiclassical approximation begins its evolution with a zero value of the scalar field. In passing the potential barrier the energy of the scalar field grows to Planckian values. The mass of a scalar field quantum is the only parameter which controls the quantum evolution of the Universe. The authors consider the tunnelling using the method of characteristics in the quasiclassical approximation of the WDW equation under the barrier. Along each of the characteristics, the WKB theory, well developed for onedimensional problems, is used. It is shown that the turning points coincide with the points where U(a, Φ) = 0. The total permeability through the barrier is a result of averaging over all the characteristics.
 Publication:

Gravitation and Cosmology
 Pub Date:
 1996
 Bibcode:
 1996GrCo....2..203G
 Keywords:

 Cosmological Models: Origin