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Quantum Energy Inequality for the Massive Ising Model (1304.7682v2)

Published 29 Apr 2013 in math-ph, gr-qc, hep-th, and 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.

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