For a ghost-free modification of the Polyakov action on a fixed 2D black hole background, the Hawking flux at infinity is unchanged; only diagonal stress-energy components and entropy get non-local corrections.
Weak Field Limit of Infinite Derivative Gravity
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A form of infinite derivative gravity is free from ghost-like instabilities with improved small scale behavior. In this theory, we calculate the tree-level scattering amplitude and the corresponding weak field potential energy between two localized covariantly conserved spinning point-like sources that also have velocities and orbital motion. We show that the spin-spin and spin-orbit interactions take the same form as in Einstein's gravity at large separations, whereas at small separations, the results are different. We find that not only the usual Newtonian potential energy but also the spin-spin and spin-orbit interaction terms in the potential energy are non-singular as one approaches r->0.
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Ghost-free modification of the Polyakov action and Hawking radiation
For a ghost-free modification of the Polyakov action on a fixed 2D black hole background, the Hawking flux at infinity is unchanged; only diagonal stress-energy components and entropy get non-local corrections.