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.
Renormalization of Higher Derivative Quantum Gravity
8 Pith papers cite this work. Polarity classification is still indexing.
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Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
A van der Waals-inspired modification to general relativity renders the gravitational coupling dynamical, providing a mechanism to avoid Big Bang and black hole singularities.
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.
FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
Dyson-Schwinger methods applied to gravity theories produce conformally flat metrics and a sequence of cosmological phase transitions from conformal symmetry breaking that non-minimal scalar couplings can suppress.
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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Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW
Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
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Van der Waals Gravity Theory
A van der Waals-inspired modification to general relativity renders the gravitational coupling dynamical, providing a mechanism to avoid Big Bang and black hole singularities.
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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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FeynGrav 4.0
FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
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Review of strongly coupled regimes in gravity with Dyson-Schwinger approach
Dyson-Schwinger methods applied to gravity theories produce conformally flat metrics and a sequence of cosmological phase transitions from conformal symmetry breaking that non-minimal scalar couplings can suppress.
- Batalin-Fradkin-Vilkovisky Quantization of Quadratic Gravity