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 non-perturbative since gravity is a non-renormalizable quantum field theory when the dimension of spacetime is four.
- Publication:
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Lecture Notes in Physics, Berlin Springer Verlag
- Pub Date:
- 2010
- DOI:
- 10.1007/978-3-642-11897-5_2
- arXiv:
- arXiv:0906.3947
- Bibcode:
- 2010LNP...807...59A
- Keywords:
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- Physics;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 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"