Gauge Assisted Quadratic Gravity: A Framework for UV Complete Quantum Gravity

Abstract

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is used to induce the usual Einstein-Hilbert term, which was taken to be small or absent in the original action. We study the spin-two propagator in detail, with a focus on the high mass resonance which is shifted off the real axis by the coupling to real decay channels. We calculate scattering in the $J=2$ partial wave and show explicitly that unitarity is satisfied. The theory will in general have a large cosmological constant and we study possible solutions to this, including a unimodular version of the theory. Overall, the theory satisfies our present tests for being a ultraviolet completion of quantum gravity.

22 pages, 3 figures

References in corpus (9)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• The Lee-Wick Standard Model
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• On the Quantisation of Complex Higher Derivative Theories and Avoiding the Ostrogradsky Ghost
• Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
• Classical and Quantum Dynamics of Higher-Derivative Systems
• Dpes massless QCD have vacuum energy?
• Mass gap without vacuum energy
• Ghost-free higher derivative unimodular gravity

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