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Improved lattice method for determining entanglement measures in SU(N) gauge theories

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arxiv 2211.00425 v1 pith:IZECU4BB submitted 2022-11-01 hep-lat

Tobias Rindlisbacher , Niko Jokela , Arttu Pönni , Kari Rummukainen , Ahmed Salami This is my paper · ORCID
classification hep-lat
keywords entanglementgaugelatticemeasuresmethodtheoriesentropiesenyi
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The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "R\'enyi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of R\'enyi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.

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Cited by 5 Pith papers

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

  1. Determination of thermodynamics from entanglement entropy in the finite-density O(N) model

    hep-th 2026-07 accept novelty 7.0 of 10

    The derivative of entanglement entropy with respect to subregion volume equals the thermal entropy density in the large-subregion limit, verified via lattice simulations of the finite-density O(4) model using dual wor...

  2. Momentum-projected hadron entanglement from lattice-QCD replica correlators

    hep-ph 2026-03 conditional novelty 6.0 of 10

    The vacuum-subtracted Rényi response of a momentum-projected hadron equals 1/(1-n) times the log of a replicated source-sink correlator on the cut geometry divided by the n-th power of the ordinary correlator.

  3. Lattice studies of entanglement entropy in $O(N)$ models at finite densities

    hep-lat 2026-02 conditional novelty 6.0 of 10

    A worm-algorithm boundary-deformation method computes ∂ℓ entanglement entropy in finite-density O(N) models, with initial O(4) results in 3D and an internal consistency check.

  4. Entanglement entropy of a color flux tube in (1+1)D Yang-Mills theory

    hep-lat 2024-11 accept novelty 6.0 of 10

    For (1+1)D lattice Yang-Mills with static quarks, the flux-tube entanglement entropy is exactly F log(dim R), where F counts boundary crossings and dim R is the color representation dimension.

  5. Thermal and chemical response from entanglement entropy

    hep-th 2026-03 conditional novelty 5.0 of 10

    The derivative of entanglement entropy with respect to region size equals the thermal entropy density, and a generalized Maxwell relation connects it to charge density — tested nonperturbatively in the 3D O(4) model.

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