Scattering amplitudes in affine gravity
Benjamin Knorr, Chris Ripken

TL;DR
This paper computes tree-level scalar scattering amplitudes in affine gravity, a connection-based gravity formulation, revealing differences from metric quantum gravity despite classical equivalence to general relativity.
Contribution
It provides the first calculation of scattering amplitudes in affine gravity, highlighting quantum differences from metric formulations.
Findings
Affine gravity yields different quantum scattering amplitudes than metric quantum gravity.
Classical equivalence to general relativity does not extend to quantum scattering processes.
The work bridges affine gravity theory with quantum scattering computations.
Abstract
Affine gravity is a connection-based formulation of gravity that does not involve a metric. After a review of basic properties of affine gravity, we compute the tree-level scattering amplitude of scalar particles interacting gravitationally via the connection in a curved spacetime. We find that, while classically equivalent to general relativity, affine gravity differs from metric quantum gravity.
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