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Entanglement Entropy via Double Cone Regularization

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arxiv 2401.00219 v3 pith:K2TN7WLP submitted 2023-12-30 hep-th gr-qc

Taishi Kawamoto , Yu-ki Suzuki This is my paper · ORCID
classification hep-thgr-qc
keywords entanglemententropymethodregularizationbehaviorconedoubleepsilon
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abstract

This paper proposes an alternative regularization method for handling the ultraviolet behavior of entanglement entropy. Utilizing an $i\epsilon$ prescription in the Euclidean double cone geometry, it accurately reproduces the universal behavior of entanglement entropy. The method is demonstrated in the free boson theory in arbitrary dimensions and two-dimensional conformal field theories. The findings highlight the effectiveness of the $i\epsilon$ regularization method in addressing ultraviolet issues in quantum field theory and gravity, suggesting potential applications to other calculable quantities.

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  1. Thermal Pseudo-Entropy

    hep-th 2024-11 conditional novelty 5.0 of 10

    Thermal pseudo-entropy is the analytic continuation S(β+it) of thermal entropy, equals the pseudo-entropy of a Thermofield Double transition matrix, and its averaged real part tracks the spectral form factor.

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