Can I read Gauge-invariant Coefficients in Perturbative Quantum Gravity on EtoBox?

Gauge-invariant Coefficients in Perturbative Quantum Gravity by Bastianelli, Fiorenzo; Bonezzi, Roberto; Melis, Marco is a scholarly article available to read on EtoBox.

What is Gauge-invariant Coefficients in Perturbative Quantum Gravity about?

Heat kernel methods are useful for studying properties of quantum gravity. We recompute here the first three heat kernel coefficients in perturbative quantum gravity with cosmological constant to ascertain which ones are correctly reported in the literature. They correspond to the counterterms needed to renormalize the one-loop effective action in four dimensions. They may be evaluated at arbitrary dimensions $D$, in which case they identify only a subset of the divergences appearing in the effective action for $D\geq 6$. Generically, these coefficients depend on the gauge-fixing choice adopted in quantizing the Einstein-Hilbert action. However, they become gauge-invariant once evaluated on-shell, i.e. using Einstein's field equations with cosmological constant. We identify them and use them as a benchmark for checking alternative approaches to perturbative quantum gravity. One such approach describes the graviton in first-quantization through the use of the action of the ${\cal N}=4$ spinning particle, characterized by four supersymmetries on the worldline and a set of worldline gauge invariances. This description has been used for computing the gauge-invariant coefficients as wel

Author

Bastianelli, Fiorenzo; Bonezzi, Roberto; Melis, Marco

Published

2022

Language

EN