Quantum Gravity as Sum over Spacetimes
Abstract
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 nonperturbative since gravity is a nonrenormalizable quantum field theory when the dimension of spacetime is four.
 Publication:

Lecture Notes in Physics, Berlin Springer Verlag
 Pub Date:
 2010
 DOI:
 10.1007/9783642118975_2
 arXiv:
 arXiv:0906.3947
 Bibcode:
 2010LNP...807...59A
 Keywords:

 Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 references added, typos corrected. 67 pages, lectures given at the summer school "New Paths Towards Quantum Gravity", May 1216 2008. To appear as part of a Springer Lecture Notes in Physics publication: "Quantum Gravity  New Paths Towards Unification"