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Einstein-Hilbert gravity, higher derivatives and a scalar matter field

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arxiv 2405.00528 v1 pith:RPD7GTNN submitted 2024-05-01 hep-th

Einstein-Hilbert gravity, higher derivatives and a scalar matter field

classification hep-th
keywords derivativeshighereinstein-hilbertfieldgravitymatterscalarbeginning
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The present paper extends two previous one's on pure gravity dealing with Einstein-Hilbert and higher derivatives by including a massless scalar field as representative of matter. We study the renormalization to all orders of perturbation theory, provide the Slavnov-Taylor identity, symmetric partial differential equations and derive finiteness properties in the Landau gauge. It is shown that beginning with one-loop negative norm states originating from higher derivatives disappear.

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  1. Conformal symmetry, SM and Gravity

    hep-th 2026-07 conditional novelty 5.0

    A Weyl-invariant SM+mirror-dark-matter+gravity model is developed via algebraic renormalization; its conformal cohomology is claimed trivial, and the required counterterms could — the author concedes not conclusively ...