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Modular operator for null plane algebras in free fields

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arxiv 2107.00039 v1 pith:NBLBVXYU submitted 2021-06-30 math-ph hep-thmath.MPmath.OA

Modular operator for null plane algebras in free fields

classification math-ph hep-thmath.MPmath.OA
keywords nullalgebrasfreeplanefieldfieldsmodularoperator
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the algebras generated by observables in quantum field theory localized in regions in the null plane. For a scalar free field theory, we show that the one-particle structure can be decomposed into a continuous direct integral of lightlike fibres, and the modular operator decomposes accordingly. This implies that a certain form of QNEC is valid in free fields involving the causal completions of half-spaces on the null plane (null cuts). We also compute the relative entropy of null cut algebras with respect to the vacuum and some coherent states.

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Cited by 1 Pith paper

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  1. Relative entropy for $\lambda \phi^4$ in the Rindler wedge

    hep-th 2026-07 accept novelty 6.5

    Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.