Perturbative path-integral evaluation of the Feynman propagator in Schwarzschild spacetime

Mathematics

Scientific paper

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Scientific paper

We explicitly calculate the Feynman propagator for a scalar particle in
Schwarzschild spacetime, using path integrals and perturbation theory,
up to first order in the gravitational field. A characteristic of this
formulation is that the propagator can be written in closed form, in
terms of simple mathematical functions, and is valid non-locally.

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