Quantum gravity in a general background gauge

Abstract

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the vacuum polarization. We find that, in specific background gauges, this yields the complete result for the one-loop quantum corrections to the Newtonian potential. This approach is also applied to calculate the $\ln (T)$ contributions in quantum gravity at high-temperature.

arXiv commentCorrected typos; added references. Accepted for publication in the Physical Review D

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Cited by in corpus (8)

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• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle
• Gauge-invariant coefficients in perturbative quantum gravity
• Renormalization of the Einstein-Cartan Theory in First-Order Form
• One-loop $N$-point correlators in pure gravity
• Equivalence of first and second order formulations of the Einstein-Hilbert theory
• Thermal quantum gravity in a general background gauge
• Quantum gravity and matter fields in a general background gauge