# On the entanglement entropy of quantum fields in causal sets

@article{Belenchia2017OnTE, title={On the entanglement entropy of quantum fields in causal sets}, author={Alessio Belenchia and Dionigi M T Benincasa and Marco Letizia and Stefano Liberati}, journal={Classical and Quantum Gravity}, year={2017}, volume={35} }

In order to understand the detailed mechanism by which a fundamental discreteness can provide a finite entanglement entropy, we consider the entanglement entropy of two classes of free massless scalar fields on causal sets that are well approximated by causal diamonds in Minkowski spacetime of dimensions 2, 3 and 4. The first class is defined from discretised versions of the continuum retarded Green functions, while the second uses the causal set’s retarded nonlocal d’Alembertians parametrised…

## 10 Citations

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This paper builds on previous work on the entanglement entropy of a massless scalar field on a causal set approximated by a 1 + 1D causal diamond in Minkowski spacetime and presents new insights into the truncated contributions, including evidence that they behave as fluctuations and encode features specific to a particular causal set sprinkling.

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We study discrete Lorentzian spectral geometry by investigating to what extent causal sets can be identified through a set of geometric invariants such as spectra. We build on previous work where it…

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