The Quantum Cosmology of Einstein-Yang-Mills Theory in Eight-Dimensions

In this paper,the quantum cosmology of Einstein-Yang-Mills has been studied.The Hartle-Hawking proposal for the boundary conditions of the Universe is extended to Eight-dimensional Einstein-Yang-Mills theory.A minisuperspace wave function is calculated in the classical limit corresponding to a superposition of classical solutions in which four of the dimensions remain small while the other four behave like an inflationary Universe.