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.
|Journal||Physical Review D: Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 10 Jul 2013|
Bibliographical note5 pages, 1 figure