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Quantum Energy Inequality for the Massive Ising Model

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arxiv 1304.7682 v2 pith:D2I3IJF7 submitted 2013-04-29 math-ph gr-qchep-thmath.MP

Henning Bostelmann , Daniela Cadamuro , Christopher J. Fewster This is my paper · ORCID
classification math-phgr-qchep-thmath.MP
keywords energyisingmodelquantumdensityinequalitymassiveone-particle
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A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.

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  1. How negative can null energy be in large N CFTs?

    hep-th 2024-12 conditional novelty 6.0 of 10

    In large N conformal field theories, states built from light scalar operators or stress tensors can have negative smeared null energy, but the negative amount is bounded by a scale set by the central charge.

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