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Fluctuations and Correlations in Causal Diamonds

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arxiv 2311.18049 v1 pith:KH2Z7SGV submitted 2023-11-29 hep-th

T. Banks , W. Fischler This is my paper · ORCID
classification hep-th
keywords fluctuationscausaldiamonddiamondsmodulararguecalculatedcommutation
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We argue that the correlation between the modular Hamiltonians of two causal diamonds related by a finite time translation is equal to the uncertainty in the modular Hamiltonian of the diamond in their overlap. In a separate section we investigate the relation between entropy fluctuations in a diamond, and length fluctuations calculated from the 't Hooft commutation relations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Note on 't Hooft's Shock Wave Commutators From Near Horizon Conformal Field Theory

    hep-th 2025-02 conditional novelty 6.0 of 10

    The note constructs a cut-off fermion CFT model that reproduces 't Hooft's shock wave commutators through a Weitzenbock identity, and argues the cutoffs remove coincident point divergences.

  2. Correlation functions of von Neumann entropy

    hep-th 2025-06 conditional novelty 4.0 of 10

    Two-point correlators of modular Hamiltonians obey entropy-like properties and equal the stress-tensor conformal block for spherical regions in CFT, including imaginary-time separations.

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