Finite One-Loop Calculations in Quantum Gravity: Graviton Self-Energy, Perturbative Gauge Invariance and Slavnov-Ward Identities

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In this paper we show that the one-loop graviton self-energy contribution is ultraviolet finite, without introducing counterterms, and cutoff-free in the framework of causal perturbation theory. In addition, it satisfies the gravitational Slavnov-Ward identities for the two-point connected Green function. The condition of perturbative gauge invariance to second order for loop graphs is proved. Corrections to the Newtonian potential are also derived.
44 pages, latex, no figures, some typos corrected, appendix 4 added, references added

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