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On Continuum Effective Field Theories, Gravity and Holography

Sylvain FichetEugenio MegiasMariano Quiros
Aug 2022
摘要
We examine effective field theories (EFTs) with a continuum sector in thepresence of gravity. We first explain, via arguments based on central chargeand species scale, that an EFT with a free continuum cannot consistently coupleto standard (i.e. 4D Einstein) gravity. It follows that EFTs with a free ornearly-free continuum must either have a finite number of degrees of freedom ornonstandard gravity. The latter claim is realized for holographically-definedcontinuum models. We demonstrate this by computing the deviations from standardgravity in a specific 5D scalar-gravity system that gives rise to a gappedcontinuum (i.e the linear dilaton background). We find an $R^{-2}$ deviationfrom the Newtonian potential. At finite temperature we find an energy densitywith matter-like behavior in the brane Friedmann equation, holographicallyinduced from the bulk geometry. Thus, remarkably, a brane-world living in thelinear dilaton background automatically contains dark matter. We also present aslightly more evolved asymptotically-AdS linear dilaton model, for which thedeviations exhibit a transition between AdS and linear dilaton behaviors.
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