Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2022)077
Keywords
Classical Theories of Gravity; Effective Field Theories; Models of Quantum Gravity
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Funding
- AEI-Spain [PID2020-114157GB-I00]
- AEI-Spain (Unidad de Excelencia Maria de Maeztu) [MDM-2016-0692]
- Xunta de Galicia-Conselleria de Educacion (Centro singular de investigacion de Galicia accreditation 2019-2022)
- Xunta de Galicia-Conselleria de Educacion [ED431C-2021/14]
- European Union FEDER
- Spanish MECD fellowship [FPU18/03719]
- Xunta de Galicia [ED481A-2019/115]
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In this study, the authors investigate the particle content of higher derivative theories of gravity constructed with contractions of the Riemann tensor and its covariant derivatives. It is found that theories involving covariant derivatives of the Riemann tensor may exhibit ghost particles in their spectrum. This could be an indication of non-locality in any healthy UV completion of General Relativity.
We study the particle content of higher derivative theories of gravity built with contractions of the Riemann tensor and its covariant derivatives. In the absence of the latter, there is a family of theories exhibiting an Einsteinian spectrum known as generalized quasi-topological gravities. In turn, we present a no-go result for the construction of Einsteinian gravities involving covariant derivatives of the Riemann tensor. We find evidences suggesting that (truncated series) finite order Lagrangians with covariant derivatives of the Riemann tensor generically present ghosts in their spectrum. This might be interpreted as a hint of non-locality in any healthy UV completion of General Relativity.
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