The third structure function

doi:10.1088/1361-6382/adcfe9

The third structure function

2025-05-06

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DOI：10.1088/1361-6382/adcfe9

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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 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.

Keywords:

de Sitter

quantum gravity

graviton self-energy

structure functions

The third structure function

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