Scheme dependence of quantum gravity on de Sitter background

Abstract

We extend our investigation of the IR effects on the local dynamics of matter fields in quantum gravity. Specifically we clarify how the IR effects depend on the change of the quantization scheme: different parametrization of the metric and the matter field redefinition. Conformal invariance implies effective Lorentz invariance of the matter system in de Sitter space. An arbitrary choice of the parametrization of the metric and the matter field redefinition does not preserve the effective Lorentz invariance of the local dynamics. As for the effect of different parametrization of the metric alone, the effective Lorentz symmetry breaking term can be eliminated by shifting the background metric. In contrast, we cannot compensate the matter field redefinition dependence by such a way. The effective Lorentz invariance can be retained only when we adopt the specific matter field redefinitions where all dimensionless couplings become scale invariant at the classical level. This scheme is also singled out by unitarity as the kinetic terms are canonically normalized.

20 pages, 3 figures

References in corpus (8)

• Stochastic Inflationary Scalar Electrodynamics
• Gravitons Enhance Fermions during Inflation
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Scalar Field Equations from Quantum Gravity during Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Boltzmann equation in de Sitter space
• Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED

Cited by in corpus (9)

• Perturbative Quantum Gravity Comes of Age
• The Perils of Analytic Continuation
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Time Dependent Couplings as Observables in de Sitter Space
• Infrared-finite graviton two-point function in static de Sitter space
• Soft gravitational effects in Kadanoff-Baym approach
• Infrared divergences for free quantum fields in cosmological spacetimes
• Quantum effects in topological and Schwarzschild de Sitter brane: Aspects of torsion on $(\mathbf{D}\bar{\mathbf{D}}{)}_4$-brane universe
• Effective Lagrangian in de Sitter Spacetime