Vacua in novel 4D Einstein-Gauss-Bonnet gravity: pathology and instability?

DOI10.1016/J.PHYSLETB.2020.135907zbMATH Open1475.83118arXiv2004.09339OpenAlexW3017080824MaRDI QIDQ820371

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Publication date: 27 September 2021

Published in: (Search for Journal in Brave)

Abstract: We show an inconsistence of the novel 4D Einstein-Gauss-Bonnet gravity by considering a quantum tunneling process of vacua. Using standard semi-classical techniques, we analytically study the vacuum decay rate for all allowed cases in the parameter space. It turns out, without exception, that the theory either encounters a disastrous divergence of vacuum decay rate, or exhibits a confusing complex value of vacuum decay rate, or involves an infinitely instability (a large vacuum mixing). These suggest a strong possibility that the theory, at least the vacuum of the theory, is either unphysical or unstable, or has no well-defined limit as $Dightarrow4$.

Full work available at URL: https://arxiv.org/abs/2004.09339

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