Develops a Lagrangian path integral formulation for non-projectable Hořava gravity and computes one-loop divergences in (2+1) dimensions, verifying cancellation of linear-in-frequency terms to extract beta functions for Newton constant and λ.
Classical Gravity with Higher Derivatives
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Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
Higher-derivative corrections in projectable Hořava gravity do not yield static planar-symmetric solutions that can serve as endpoints for the Minkowski infrared instability.
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
BFV quantization of quadratic gravity produces propagators for fields with negative norms and a mass spectrum matching Stelle's results but distributed differently among the fields.
citing papers explorer
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Quantizing non-projectable Ho\v{r}ava gravity with Lagrangian path integral
Develops a Lagrangian path integral formulation for non-projectable Hořava gravity and computes one-loop divergences in (2+1) dimensions, verifying cancellation of linear-in-frequency terms to extract beta functions for Newton constant and λ.
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How to deal with conformal and pure scale-invariant theories of gravity in d dimensions?
Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
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Space- vs Time-dependence in taming the infrared instability of projectable Ho\v{r}ava Gravity
Higher-derivative corrections in projectable Hořava gravity do not yield static planar-symmetric solutions that can serve as endpoints for the Minkowski infrared instability.
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The Spectrum of Quantum Gravity
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
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Batalin-Fradkin-Vilkovisky Quantization of Quadratic Gravity
BFV quantization of quadratic gravity produces propagators for fields with negative norms and a mass spectrum matching Stelle's results but distributed differently among the fields.