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The one-loop photon contribution to the graviton self-energy is calculated using the technique of dimensional regularization and the resulting amplitude is found to satisfy the appropriate Slavnov-Ward identities. The infinite part can be removed by counterterms of the form √g(R²-3R_μνR^μν) and the finite part is compared with the previously derived graviton-loop contribution.
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Capper et al. (1974) studied this question.
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