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}
}
Constraints on Gravitation from Causality and Quantum Consistency
We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless
Pseudolinear spin-2 interactions
We show how the pseudo-linear interactions for spin-2 particles can be straightforwardly extended to include multiple massive and massless fields without introducing ghosts. When massive spin-2
Taming higher-derivative interactions and bootstrapping gravity with soft theorems
On-shell constructibility is redefining our understanding of perturbative quantum field theory. The tree-level S-matrix of constructible theories is completely determined by a set of recurrence
General relativity from causality
A bstractWe study large families of theories of interacting spin 2 particles from the point of view of causality. Although it is often stated that there is a unique Lorentz invariant effective theory
Orbits in bootstrapped Newtonian gravity
Bootstrapped Newtonian gravity is a nonlinear version of Newton’s law which can be lifted to a fully ge-ometric theory of gravity starting from a modified potential. Here, we study geodesics in the
Bootstrapping Newtonian gravity
A non-linear equation obtained by adding gravitational self-interaction terms to the Poisson equation for Newtonian gravity is here employed in order to analyse a static spherically sym- metric
On scalar and vector fields coupled to the energy-momentum tensor
A bstractWe consider theories for scalar and vector fields coupled to the energy-momentum tensor. Since these fields also carry a non-trivial energy-momentum tensor, the coupling prescription
Wald type analysis for spin-one fields in three dimensions
A bstractWe revisit Wald’s analysis of [5] in the context of spin-one fields in three dimensions. A key technical difference from Wald’s is the role played by the three dimensional completely
Softness, Polynomial Boundedness and Amplitudes' Positivity
In this note, we study the connections between infrared (IR) and ultraviolet (UV) behaviors of scattering amplitudes of massless channels by exploiting dispersion relations and positivity bounds.
Effective metric outside bootstrapped Newtonian sources
We determine the complete space-time metric from the bootstrapped Newtonian potential generated by a static spherically symmetric source in the surrounding vacuum. This metric contains post-Newtonian
...
1
2
...

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
...