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Total derivatives in cosmological perturbations: implications for decoherence and Bell violation

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We examine the role of total time derivatives (boundary terms) in the action of cosmological perturbations and their impact on momentum-space entanglement, including the processes of decoherence and two-mode squeezing. We also discuss the necessity of considering such terms from several perspectives: the well-defined variational principle in gravity, the integration-by-parts procedure in cosmological perturbations and the WKB limit of the Wheeler-DeWitt equation. Finally, we explore their relevance in a proposed cosmological Bell test utilizing momentum-space entanglement, suggesting a possible window for Bell violation in minimal single-field inflation.

References: 2405.07141, 2305.08071 and 2207.04435

This talk is part of the Cosmology Lunch series.

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