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 $G(x)=⟨{\psi }^{†}(x)\psi (0)⟩$ 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.

12 pages, 7 figures

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