A major unsolved problem in theoretical physics is to reconcile the classical theory of general relativity with quantum mechanics. These lectures will deal with an attempt to describe quantum gravity as a path integral over geometries. Such an approach has to be non-perturbative since gravity is a non-renormalizable quantum field theory when the dimension of spacetime is four.
Lecture Notes in Physics, Berlin Springer Verlag
- Pub Date:
- General Relativity and Quantum Cosmology;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- references added, typos corrected. 67 pages, lectures given at the summer school "New Paths Towards Quantum Gravity", May 12-16 2008. To appear as part of a Springer Lecture Notes in Physics publication: "Quantum Gravity - New Paths Towards Unification"