Resumming Photon Loops for Inflationary Gravity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915063976165376 |
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| author | Foraci, A. J. Woodard, R. P. |
| author_facet | Foraci, A. J. Woodard, R. P. |
| contents | A previous calculation of the 1-loop photon contribution to the graviton self-energy on de Sitter background is considered. We first show that there is no local obstacle to conservation, unlike the contribution from a loop of massless, minimally coupled scalars. This is correlated to the absence of an Eddington ($R^2$) counterterm and to the vanishing of the stress tensor when the photon in integrated out in the presence of a constant graviton field. We also show that there is a secularly growing 1-loop contribution to the electric components of the Weyl tensor for plane wave gravitons. Its coefficient agrees with that of the secular 1-loop correction to the Newtonian potential, and both can be resummed using a variant of the renormalization group. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_11022 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resumming Photon Loops for Inflationary Gravity Foraci, A. J. Woodard, R. P. General Relativity and Quantum Cosmology High Energy Physics - Theory A previous calculation of the 1-loop photon contribution to the graviton self-energy on de Sitter background is considered. We first show that there is no local obstacle to conservation, unlike the contribution from a loop of massless, minimally coupled scalars. This is correlated to the absence of an Eddington ($R^2$) counterterm and to the vanishing of the stress tensor when the photon in integrated out in the presence of a constant graviton field. We also show that there is a secularly growing 1-loop contribution to the electric components of the Weyl tensor for plane wave gravitons. Its coefficient agrees with that of the secular 1-loop correction to the Newtonian potential, and both can be resummed using a variant of the renormalization group. |
| title | Resumming Photon Loops for Inflationary Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.11022 |