# A gauge invariant resummation of quantum gravity

• Andy Strominger
Quantum Gravity
Part of the Lecture Notes in Physics book series (LNP, volume 176)

## Abstract

Quantum gravity is expanded in powers of 1/D, where D is the number of dimensions. The extra dimensions are highly compactified. The expansion is gauge invariant. The leading term is equivalent to the iterated one loop matter corrections due to a free, massless scalar field without the $$\frac{1}{6} R\phi ^2$$. term necessary for conformal invariance. The 1/D expansion is renormalizable. Flat space is found to be unstable under small fluctuations.

## Keywords

Scalar Field Quantum Gravity Conformal Invariance Matter Field Massless Scalar
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## References

1. 1.
E. Tomboulis, Phys. Lett. 70B (1977) 361, and Phys. Lett. 97B (1980) 77.Google Scholar
2. 2.
A. Strominger, Phys. Rev. D24 (1981) 3082.Google Scholar
3. 3.
J.B. Hartle and G. Horowitz, Phys. Rev. D24 (1981) 257.Google Scholar