On Truncated Generalized Gibbs Ensembles in the Ising Field Theory

Abstract: We discuss the implementation of two different truncated Generalized Gibbs Ensembles (GGE) describing the stationary state after a mass quench process in the Ising Field Theory. One truncated GGE is based on the semi-local charges of the model, the other on regularized versions of its ultra-local charges. We test the efficiency of the two different ensembles by comparing their predictions for the stationary state values of the single-particle Green's function $$G(x) = \langle \psi^{\dagger}(x) \psi(0) \rangle$$ of the complex fermion field $\psi(x)$. We find that both truncated GGEs are able to recover $G(x)$, but for a given number of charges the semi-local version performs better.