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Regularization parameters for the self-force in Schwarzschild spacetime: Scalar case

Regularization parameters for the self-force in Schwarzschild spacetime: Scalar case

We derive the explicit values of all regularization parameters (RP) for a scalar particle in an arbitrary geodesic orbit around a Schwarzschild black hole. These RP are required within the previously introduced mode-sum method, for calculating the local self-force acting on the particle. In this method one first calculates the …