Quantum corrections in massive bigravity and new effective composite metrics
arXiv:1410.4239 · doi:10.1088/0264-9381/32/10/105011
Abstract
We compute the one-loop quantum corrections to the interactions between the two metrics of the ghost-free massive bigravity. When considering gravitons running in the loops, we show how the structure of the interactions gets destabilized at the quantum level, exactly in the same way as in its massive gravity limit. A priori one might have expected a better quantum behavior, however the broken diffeomorphism invariance out of the two initial diffeomorphisms in bigravity has similar consequences at the quantum level as the broken diffeomorphism in massive gravity. From lessons of the generated quantum corrections through matter loops we propose yet other types of effective composite metrics to which the matter fields can couple. Among these new effective metrics there might be one or more that could provide interesting phenomenology and important cosmological implications.
26 pages, references added
References in corpus (14)
- Resummation of Massive Gravity
- Covariant Galileon
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Interacting Spin-2 Fields
- Massive gravity: nonlinear instability of the homogeneous and isotropic universe
- xPert: Computer algebra for metric perturbation theory
- Multi-field galileons and higher co-dimension branes
- Cosmic Acceleration and the Helicity-0 Graviton
- Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
- Cosmology of the proxy theory to massive gravity
- Nonlinear Properties of Vielbein Massive Gravity
- Quantum Corrections in Galileons from Matter Loops