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arxiv: 1605.05006 · v1 · pith:5A6RZKAEnew · submitted 2016-05-17 · ✦ hep-th · gr-qc

Quadratic gravity: from weak to strong

classification ✦ hep-th gr-qc
keywords gravityquadraticasymptoticallyfreeghostspin-2strongtheory
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More than three decades ago quadratic gravity was found to present a perturbative, renormalizable and asymptotically free theory of quantum gravity. Unfortunately the theory appeared to have problems with a spin-2 ghost. In this essay we revisit quadratic gravity in a different light by considering the case that the asymptotically free interaction flows to a strongly interacting regime. This occurs when the coefficient of the Einstein-Hilbert term is smaller than the scale $\Lambda_{\mathrm{QG}}$ where the quadratic couplings grow strong. Here QCD provides some useful insights. By pushing the analogy with QCD, we conjecture that the nonperturbative effects can remove the naive spin-2 ghost and lead to the emergence of general relativity in the IR.

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