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Momentum-space entanglement entropy in de Sitter
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abstract
We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any interacting quantum field theory, and we examine them for this specific curved background using the Hubble scale as a natural delimiter to define UV/IR separation. We show that there are several new subtleties when generalising flat space results due to having a time-dependent interaction term and a non-trivial vacuum state. Our main finding is that the momentum-space entanglement entropy in de Sitter space grows very rapidly, supporting previous similar results for cosmological perturbations [1], which leads to interesting new questions.
Forward citations
Cited by 2 Pith papers
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Mutual information as a measure of renormalizability
The logarithmic slope of momentum-space mutual information with mode separation classifies λφⁿ theories into super-renormalizable, marginal, and non-renormalizable.
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An Open Effective Field Theory for light in a medium
A dissipative open EFT for photons in a medium is constructed, featuring a deformed advanced gauge symmetry and a noise constraint vμ(jμ+ξμ)=0.
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