Higher derivative theories for interacting massless gravitons in Minkowski spacetime

@article{Bai2018HigherDT,
  title={Higher derivative theories for interacting massless gravitons in Minkowski spacetime},
  author={Dong Bai and Yu-Hang Xing},
  journal={Nuclear Physics B},
  year={2018}
}
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11 Citations
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11 Citations

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References

SHOWING 1-10 OF 57 REFERENCES
Bending of light in quantum gravity.
TLDR
These results allow a semiclassical computation of the bending angle for light rays grazing the Sun, including long-range ℏ contributions, and discuss implications of this computation, in particular, the violation of some classical formulations of the equivalence principle.
Resummation of massive gravity.
TLDR
Four-dimensional covariant nonlinear theories of massive gravity are constructed which are ghost-free in the decoupling limit to all orders, and the Hamiltonian constraint is maintained at least up to and including quartic order in nonlinearities, hence excluding the possibility of the Boulware-Deser ghost up to this order.
Gravity from self-interaction in a curved background
The full Einstein action is derived, by consistent self-coupling requirements, from the linear graviton action in an a priori arbitrary background geometry: flat space no longer plays a preferred…
Gravitation, Causality, and Quantum Consistency
We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by constructing two different classes of interacting theories of…
Scattering of massless particles in arbitrary dimensions.
TLDR
A compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimensions is presented and Gauge invariance is completely manifest as it follows from a simple property of the Pfaffian.
On the uniqueness of ghost-free special gravity
Special gravity refers to interacting theories of massless gravitons in Minkowski space-time which are invariant under the abelian gauge invariance $h_{ab}\rightarrow h_{ab}+\partial_{(a}χ_{b)}$…
Ghost-free derivative interactions for a massive graviton
A bstractIf the kinetic interactions of a Lorentz-invariant massive graviton are Einstein-Hilbert, then the only possible potential terms free from the Boulware-Deser ghost are those of de Rham,…
General covariance in quantum gravity at a Lifshitz point
In the minimal formulation of gravity with Lifshitz-type anisotropic scaling, the gauge symmetries of the system are foliation-preserving diffeomorphisms of spacetime. Consequently, compared to…
Tree level recursion relations in general relativity
Recently, tree-level recursion relations for scattering amplitudes of gluons in Yang-Mills theory have been derived. In this note we propose a generalization of the recursion relations to tree-level…
Illuminating Light Bending
The interactions of gravitons with spin-1 matter are calculated in parallel with the well known photon case. It is shown that graviton scattering amplitudes can be factorized into a product of…
...
1
2
3
4
5
...