Can I read Frame Covariance in Quantum Gravity on EtoBox?

Frame Covariance in Quantum Gravity by Finn, Kieran; Karamitsos, Sotirios; Pilaftsis, Apostolos is a scholarly article available to read on EtoBox.

What is Frame Covariance in Quantum Gravity about?

We develop a quantum effective action for scalar-tensor theories of gravity which is both spacetime diffeomorphism invariant and field reparameterisation (frame) invariant beyond the classical approximation. We achieve this by extending the Vilkovisky-DeWitt formalism, treating both the scalar fields and the components of the gravitational tensor field as coordinates describing a manifold. By using tensors covariant under diffeomorphisms of this manifold, we show that scalar-tensor theories can be written in a form that is manifestly frame invariant at both classical and quantum levels. In~the same context, we show that in order to maintain manifest frame invariance, we must modify the Feynman rules of theories with a non-trivial field space. We show that one such theory is General Relativity by demonstrating explicitly that it has a non-zero field-space Riemann tensor. Thus, when constructing theories of quantum gravity, we must deal not only with curved spacetime, but also with a curved field space. Finally, we address the cosmological frame problem by tracing its origin to the existence of a new model function that appears in the path integral measure. Once this function is fixe

Author

Finn, Kieran; Karamitsos, Sotirios; Pilaftsis, Apostolos

Published

2019

Language

EN