On truncated generalized Gibbs ensembles in the Ising field theory

<p>We discuss the implementation of two dierent 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-...

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Principais autores: Essler, F, Mussardo, G, Panfil, M
Formato: Journal article
Publicado em: IOP Publishing 2017
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author Essler, F
Mussardo, G
Panfil, M
author_facet Essler, F
Mussardo, G
Panfil, M
author_sort Essler, F
collection OXFORD
description <p>We discuss the implementation of two dierent 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 <i>G(x) = ⟨Ψ<sup>†</sup>(x)Ψ(0)⟩</i> of the complex fermion field <i>Ψ(x)</i>. We find that both truncated GGEs are able to recover <i>G(x)</i>, but for a given number of charges the semi-local version performs better.</p>
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spelling oxford-uuid:c6f25ebb-ffec-441f-aae2-5718c7082fcb2022-03-27T06:41:32ZOn truncated generalized Gibbs ensembles in the Ising field theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c6f25ebb-ffec-441f-aae2-5718c7082fcbSymplectic Elements at OxfordIOP Publishing2017Essler, FMussardo, GPanfil, M <p>We discuss the implementation of two dierent 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 <i>G(x) = ⟨Ψ<sup>†</sup>(x)Ψ(0)⟩</i> of the complex fermion field <i>Ψ(x)</i>. We find that both truncated GGEs are able to recover <i>G(x)</i>, but for a given number of charges the semi-local version performs better.</p>
spellingShingle Essler, F
Mussardo, G
Panfil, M
On truncated generalized Gibbs ensembles in the Ising field theory
title On truncated generalized Gibbs ensembles in the Ising field theory
title_full On truncated generalized Gibbs ensembles in the Ising field theory
title_fullStr On truncated generalized Gibbs ensembles in the Ising field theory
title_full_unstemmed On truncated generalized Gibbs ensembles in the Ising field theory
title_short On truncated generalized Gibbs ensembles in the Ising field theory
title_sort on truncated generalized gibbs ensembles in the ising field theory
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