Smearing out contact terms in ghost-free infinite derivative quantum gravity
arXiv:2402.18694 · doi:10.1088/1361-6382/adb08c
Abstract
In the context of ghost-free infinite derivative gravity, we consider the single graviton exchange between two spinless particles, a spinless particle and a photon, or between a spinless particle and a spin-1/2 particle. To this end, we compute the gravitational potential for the three aforementioned cases and derive the correction that arises at the linearised level. In the local theory, it is well-known that such a correction appears in the form of a Dirac delta function. Here, we show that this correction is smeared out for the nonlocal theory and, in contrast to the local theory, takes on non-zero values for a non-zero separation between the two particles. In the case of the single graviton exchange between a spinless particle and a spin-1/2 particle, we also compute the correction that arises in the non-static case within the non-relativistic approximation and show that it is finite in the nonlocal theory.
34 pages, 1 figure, published in CQG
References in corpus (13)
- A Spin Entanglement Witness for Quantum Gravity
- Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
- Counting ghosts in the "ghost-free" non-local gravity
- How does a dark compact object ringdown?
- Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
- Do massive compact objects without event horizon exist in infinite derivative gravity?
- Nonlocal star as a blackhole mimicker
- Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
- Nonlocal gravity with worldline inversion symmetry
- Non-singular and ghost-free infinite derivative gravity with torsion
- Stable, non-singular bouncing universe with only a scalar mode
- Infinite derivative gravity resolves nonscalar curvature singularities
- Junction conditions in infinite derivative gravity