A coupling α is identified with de Sitter entropy via holography and RG flow; imposing monotonic infrared increase on α(k) yields the observed cosmological constant value.
Probing the small distance structure of canonical quantum gravity using the conformal group
2 Pith papers cite this work, alongside 39 external citations. Polarity classification is still indexing.
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abstract
In canonical quantum gravity, the formal functional integral includes an integration over the local conformal factor, and we propose to perform the functional integral over this factor before doing any of the other functional integrals. By construction, the resulting effective theory would be expected to be conformally invariant and therefore finite. However, also the conformal integral itself diverges, and the effects of a renormalization counter term are considered. It generates problems such as unitarity violation, due to a Landau-like ghost, and conformal anomalies. Adding (massive or massless) matter fields does not change the picture. Various alternative ideas are offered, including a more daring speculation, which is that no counter term should be allowed for at all. This has far-reaching and important consequences, which we discuss. A surprising picture emerges of quantized elementary particles interacting with a gravitational field, in particular gravitons, which are "partly classical". This approach was inspired by a search towards the reconciliation of Hawking radiation with unitarity and locality, and it offers basic new insights there.
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Godel and Godel-type metrics satisfy the curvature-squared field equations as causal solutions with all Weyl tensor contributions removed, while an axially symmetric metric shows Weyl-dependent modifications to energy density and the weak energy condition.
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Microscopic entropy of de Sitter spacetime and entropic solution to the old cosmological constant problem
A coupling α is identified with de Sitter entropy via holography and RG flow; imposing monotonic infrared increase on α(k) yields the observed cosmological constant value.
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Causality Violating Solutions in Curvature-Squared Gravity
Godel and Godel-type metrics satisfy the curvature-squared field equations as causal solutions with all Weyl tensor contributions removed, while an axially symmetric metric shows Weyl-dependent modifications to energy density and the weak energy condition.