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Correlation function of modular Hamiltonians

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arxiv 1907.00646 v2 pith:6LAUPBSI submitted 2019-07-01 hep-th

classification hep-th
keywords correlationcorrelatorsdimensionaldivergentfieldfunctionsgeneralhamiltonians
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We investigate varies correlation functions of modular Hamiltonians defined with respect to spatial regions in quantum field theories. These correlation functions are divergent in general. We extract finite correlators by removing divergent terms for two dimensional massless free scalar theory. We reproduce the same correlators in general two dimensional conformal field theories.

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  1. 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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