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A New Gravitational Action For The Trace Anomaly
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The question of building a local diff-invariant effective gravitational action for the trace anomaly is reconsidered. General Relativity (GR) combined with the existing action for the trace anomaly is an inconsistent low energy effective field theory. This issue is addressed by extending GR into a certain scalar-tensor theory, which preserves the GR trace anomaly equation, up to higher order corrections. The extension introduces a new mass scale -- assumed to be below the Planck scale -- that governs four high dimensional terms in a local diff-invariant trace anomaly action. Such terms can be kept, while an infinite number of Planck-suppressed invariants are neglected. The resulting theory maintains two derivative equations of motion. In a certain approximation it reduces to the conformal Gallileon, which could have physical consequences.
Forward citations
Cited by 5 Pith papers
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Macroscopic backreaction of the trace anomaly on classical vacuum backgrounds
Order-reduced backreaction of the trace-anomaly RSET on Schwarzschild gives a naked singularity without compensatory terms and a wormhole throat with them.
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A Note on the AdS/CFT Equivalence Transformation for Galileons in General Dimensions
The AdS/CFT field redefinition for galileons is extended to all dimensions, and in odd dimensions the tadpole term is shown to be expressible via ordinary invariant terms.
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On the analogue of Einstein-Gauss-Bonnet theory in 3+1 dimensions
The trace anomaly effective action reproduces Einstein-Gauss-Bonnet Friedmann equations and perturbation spectra on FRW backgrounds with a specific scalar field solution.
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Strong coupling and instabilities in singularity-free inflation from an infinite sum of curvature corrections
The infinite-sum Lovelock inflation solution is ruled out by strong scalar coupling and tensor Laplacian instabilities.
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Massive Gravity @ 15
A status review arguing that ghost-free massive gravity remains a theoretically consistent and phenomenologically viable infrared modification of General Relativity, with open UV questions.
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