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

2024/05/01 by Klaus Sibold, Sibold, Klaus
Physics and Astronomy · Earth and Planetary Sciences · #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #Geophysics and Gravity Measurements

paper · pdf · doi:10.48550/arxiv.2405.00528

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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