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Causality and gravity

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arxiv 2106.05912 v2 pith:RG2LCOIB submitted 2021-06-10 hep-th gr-qchep-ph

Causality and gravity

classification hep-th gr-qchep-ph
keywords gravitytheorycompletionfielduncertaintycausalityeffectiveincludes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show how uncertainty in the causal structure of field theory is essentially inevitable when one includes quantum gravity. This includes the fact that lightcones are ill-defined in such a theory. This effect is small in the effective field theory regime, where it it independent of the UV completion of the theory, but grows with energy and represents an unknown uncertainty for a generic UV completion. We include details of the causality uncertainty which arises in a particular UV completion, i.e. quadratic gravity. We describe how the mechanisms uncovered in the effective field theory treatment, and some of those in quadratic gravity, could be common features of quantum gravity.

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