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The Third Structure Function
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We re-consider the graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. On flat space background it can be represented as a sum of two tensor differential operators acting on scalar structure functions. On a general background these tensor differential operators can be constructed from the linearized Ricci scalar and the linearized Weyl tensor. However, in cosmology one requires a third contribution which we derive here.
Forward citations
Cited by 2 Pith papers
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Resumming Fermion Loops for Inflationary Gravity
The 1-loop graviton self-energy from a massless fermion loop is derived on any cosmological background, and the resulting de Sitter corrections to gravitational waves and the Newtonian potential are resummed via a ren...
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Resumming Photon Loops for Inflationary Gravity
Photon loops on de Sitter background are conserved at one loop and produce a positive, logarithmically growing correction to the Weyl tensor and Newtonian potential that resums to a power law.
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