# Quantum Energy Inequality for the Massive Ising Model

April 29, 2013

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:

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