Computations of gravity-modified quantum electrodynamics are performed using nonpolynominal Lagrangian field-theory techniques. The inverse of the gravitational constant appears as an effective cutoff mass, and, in particular, it is shown that to order e² the electron and photon self-energies are finite. The cutoff can be interpreted as if the electron had an intrinsic radius equal to its Schwarzschild radius. A central feature is the construction of the tensor gravity superpropagator.
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Isham et al. (1971) studied this question.
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