Quantum Energy Inequality for the Massive Ising Model

Henning Bostelmann; Daniela Cadamuro; Christopher J. Fewster

doi:10.1103/PhysRevD.88.025019

Quantum Energy Inequality for the Massive Ising Model

Henning Bostelmann, Daniela Cadamuro, Christopher J. Fewster

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

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.

Original language	English
Article number	025019
Journal	Physical Review D: Particles, Fields, Gravitation and Cosmology
Volume	88
DOIs	https://doi.org/10.1103/PhysRevD.88.025019
Publication status	Published - 10 Jul 2013

Bibliographical note

5 pages, 1 figure

Keywords

math-ph
gr-qc
hep-th
math.MP
81T40

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10.1103/PhysRevD.88.025019

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title = "Quantum Energy Inequality for the Massive Ising Model",

abstract = "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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AU - Fewster, Christopher J.

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N2 - 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.

AB - 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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KW - gr-qc

KW - hep-th

KW - math.MP

KW - 81T40

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DO - 10.1103/PhysRevD.88.025019

M3 - Article (Academic Journal)

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JF - Physical Review D: Particles, Fields, Gravitation and Cosmology

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ER -

Quantum Energy Inequality for the Massive Ising Model

Abstract

Bibliographical note

Keywords

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