Witten diagrams in momentum space and one graviton exchange between scalars in Weyl invariant unimodular gravity

Carmelo P. Martin; J. Anero

Witten diagrams in momentum space and one graviton exchange between scalars in Weyl invariant unimodular gravity

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arxiv 2410.07365 v1 pith:7MZ6OYA6 submitted 2024-10-09 hep-th gr-qc

J. Anero , Carmelo P. Martin This is my paper · ORCID

classification hep-thgr-qc

keywords diagramexchangegravitongravityinvariantmomentumscalarsspace

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abstract

We tackle head-on the computation of the $s$-channel Witten diagram in momentum space corresponding to the exchange of a graviton between minimally coupled scalars in Weyl invariant unimodular gravity. By means of a lengthy calculation, we show first that the value of the diagram in question is the same as in General Relativity and, then, we obtain a compact expression for it in terms of the Mandelstam variables.

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Tree-level four-point function for a scalar field conformally coupled to Einstein's gravity on Euclidean AdS4
hep-th 2025-01 conditional novelty 6.0 of 10

A momentum-space formula is derived for the tree-level four-point boundary correlator of a conformally coupled scalar with graviton exchange in Euclidean AdS4.

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