Non-locality effect on the entanglement entropy in deSitter

Abstract

We investigate the effect of infrared non-locality on the entanglement between two causally separated open-charts in the deSitter space-time. Inspired by the work of Maldacena and Pimentel who gave a precise methodology for the computation of the long-range entanglement for the local massive scalar field theory on deSitter space-time, we aim to investigate the change in behaviour of this long-range entanglement due to the presence of infrared non-locality in the theory. By considering a nonlocal scalar field theory where the non-locality becomes important in the infrared, we follow the footsteps of Maldacena and Pimentel to compute the entanglement entropy of the free non-local scalar field theory in the Bunch-Davies vacuum. It is found that the presence of infrared non-locality will have strong effect on the long-range entanglement. In some case it is noted that if the strength of non-locality is large then it will tend to decrease the long-range entanglement in the infrared. We also consider the behaviour of Rényi entropy, where a strong role of non-locality on the entropy is noticed.

v2: Version accepted in JCAP

References in corpus (10)

• Entanglement negativity in quantum field theory
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Ultraviolet Complete Quantum Gravity
• Entanglement entropy of $\alpha$-vacua in de Sitter space
• Quantum discord in de Sitter space
• Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
• Impact of quantum entanglement on spectrum of cosmological fluctuations
• Infinite violation of Bell inequalities in inflation
• Entanglement negativity in the multiverse
• Non-local scalar field on deSitter and its infrared behaviour

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• Dirac fermion, cosmological event horizons and quantum entanglement
• RG studies of scalar-field models of long-range interactions
• Equating Schur Functions