Positivity of Curvature-Squared Corrections in Gravity.
@article{Cheung2017PositivityOC, title={Positivity of Curvature-Squared Corrections in Gravity.}, author={Clifford Cheung and Grant N. Remmen}, journal={Physical review letters}, year={2017}, volume={118 5}, pages={ 051601 } }
We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in dimensions greater than 4. Our result follows from unitarity of the spectral representation for a general ultraviolet completion of the GB term.
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References
SHOWING 1-10 OF 50 REFERENCES
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Physics
- 2007
We use the real-time finite-temperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge…
Positive signs in massive gravity
- Geology, Physics
- 2016
A bstractWe derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the…
Quantum Gravity Constraints from Unitarity and Analyticity
- Physics
- 2016
We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In D≥4 spacetime dimensions, these consistency conditions mandate…
The Story of \cal O: Positivity constraints in effective field theories
- Physics
- 2006
We propose a simple method for identifying operators in effective field theories whose coefficients must be positive by causality. We also attempt to clarify the relationship between diverse…
On renormalization group flows in four dimensions
- Physics
- 2011
A bstractWe discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken conformal symmetry. We analyze in…
On subleading contributions to the AdS / CFT trace anomaly
- Geology
- 1999
In the context of the AdS/CFT correspondence, we perform a direct computation in AdS5 supergravity of the trace anomaly of a d = 4, = 2 SCFT. We find agreement with the field theory result up to next…
Beyond η/s = 1/4π
- Physics
- 2009
We use a low-energy effective description of gauge theory/string theory duality to argue that the Kovtun-Son-Starinets viscosity bound is generically violated in superconformal gauge theories with…