Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2012)096
Keywords
Models of Quantum Gravity; Nonperturbative Effects; Classical Theories of Gravity
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Funding
- National Science and Engineering Research Council of Canada
- NSF [PHY11-25915]
- Fundamental Laws Initiative of the Center for the Fundamental Laws of Nature, Harvard University
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We consider quantum general relativity in three dimensions with a positive cosmological constant. The Hartle-Hawking wave function is computed as a function of metric data at asymptotic future infinity. The analytic continuation from Euclidean Anti-de Sitter space provides a natural integration contour in the space of metrics, allowing us - with certain assumptions - to compute the wave function exactly, including both perturbative and non-perturbative effects. The resulting wave function is a non-normalizable function of the conformal structure of future infinity which is infinitely peaked at geometries where I+ becomes infinitely anisotropic. We interpret this as a non-perturbative instability of de Sitter space in three dimensional Einstein gravity.
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