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arxiv: 1901.02366 · v2 · submitted 2019-01-08 · 🧮 math-ph · hep-th· math.MP· math.OA

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Entropy of Coherent Excitations

Roberto Longo
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classification 🧮 math-ph hep-thmath.MPmath.OA
keywords coherententropyspacetimealgebrasarbitraryassociatedboundarycharges
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We provide a rigorous, explicit formula for the vacuum relative entropy of a coherent state on wedge local von Neumann algebras associated with a free, neutral quantum field theory on the Minkowski spacetime of arbitrary spacetime dimension. We consider charges localised on the time zero hyperplane, possibly crossing the boundary.

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  1. Bounding relative entropy for non-unitary excitations in quantum field theory

    math-ph 2026-04 unverdicted novelty 6.0

    Convexity of non-commutative L^p norms yields bounds on relative entropy for arbitrary excitations of faithful states in general von Neumann algebras, with uniform boundedness proven for single-particle states of the ...