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Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model

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arxiv 0810.0219 v2 pith:BYMI5QWS submitted 2008-10-01 hep-th

Olalla A. Castro-Alvaredo , Benjamin Doyon This is my paper · ORCID
classification hep-th
keywords entropyentanglementboundarybi-partitefactorformfieldfields
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In this paper we give an exact infinite-series expression for the bi-partite entanglement entropy of the quantum Ising model both with a boundary magnetic field and in infinite volume. This generalizes and extends previous results involving the present authors for the bi-partite entanglement entropy of integrable quantum field theories, which exploited the generalization of the form factor program to branch-point twist fields. In the boundary case, we isolate in a universal way the part of the entanglement entropy which is related to the boundary entropy introduced by Affleck and Ludwig, and explain how this relation should hold in more general QFT models. We provide several consistency checks for the validity of our form factor results, notably, the identification of the leading ultraviolet behaviour both of the entanglement entropy and of the two-point function of twist fields in the bulk theory, to a great degree of precision by including up to 500 form factor contributions.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Toy Model for Topological Entanglement Features in 1+1D Integrable Quantum Field Theory

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the Federbush model, branch-point twist field form factors and first-order quench corrections are independent of the topological coupling λ, so Rényi entropies of the infinite-volume vacuum match two free Dirac fermions.

  2. Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench

    hep-th 2025-02 conditional novelty 6.0 of 10

    For a mass quench in the Ising field theory, the Z2-resolved Rényi entropies grow linearly at the same rate as the total entropy, with subleading oscillatory corrections now computed analytically via composite twist fields.

  3. Fusion of Integrable Defects and the Defect $g$-Function

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.

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