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

Klaus Sibold

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arXiv · 2405.00528

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

Klaus Sibold

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Abstract

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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Klaus Sibold. 2024-05-01. Einstein-Hilbert gravity, higher derivatives and a scalar matter field. https://arxiv.org/abs/2405.00528

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