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Quantum Energy Inequality for the Massive Ising Model

Mathematical Physics 2015-08-13 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1304.7682,
  title  = {Quantum Energy Inequality for the Massive Ising Model},
  author = {Henning Bostelmann and Daniela Cadamuro and Christopher J. Fewster},
  journal= {arXiv preprint arXiv:1304.7682},
  year   = {2015}
}

Comments

Slightly extended version, as published in Phys. Rev. D; 6 pages, 2 figures

R2 v1 2026-06-22T00:08:08.841Z