Pith. sign in

REVIEW 9 cited by

Lattice study of R\'enyi entanglement entropy in $SU(N_c)$ lattice Yang-Mills theory with $N_c = 2, 3, 4$

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1812.04279 v2 pith:K7UOCRCC submitted 2018-12-11 hep-lat hep-th

Andreas Rabenstein , Norbert Bodendorfer , Pavel Buividovich , Andreas Schäfer This is my paper · ORCID
classification hep-lathep-th
keywords latticedistancesentropicentropyfunctiongaugeresultsentanglement
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We consider the second R\'enyi entropy $S^{(2)}$ in pure lattice gauge theory with $SU(2)$, $SU(3)$ and $SU(4)$ gauge groups, which serves as a first approximation for the entanglement entropy and the entropic $C$-function. We compare the results for different gauge groups using scale setting via the string tension. We confirm that at small distances $l$ our approximation for the entropic $C$-function $C(l)$, calculated for the slab-shaped entangled region of width $l$, scales as $N_c^2 - 1$ in accordance with its interpretation in terms of free gluons. At larger distances $l$ $C(l)$ is found to approach zero for $N_c = 3, 4$, somewhat more rapidly for $N_c = 4$ than for $N_c = 3$. This finding supports the conjectured discontinuity of the entropic $C$-function in the large-$N$ limit, which was found in the context of AdS/CFT correspondence and which can be interpreted as transition between colorful quarks and gluons at small distances and colorless confined states at long distances. On the other hand, for $SU(2)$ gauge group the long-distance behavior of the entropic $C$-function is inconclusive so far. There exists a small region of lattice spacings yielding results consistent with $N_c=3,4$, while results from other lattice spacings deviate without clear systematics. We discuss several possible causes for discrepancies between our results and the behavior of entanglement entropy in holographic models.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 9 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. Tensor renormalization group approach to entanglement entropy

    hep-lat 2025-09 conditional novelty 6.0 of 10

    A tensor renormalization group algorithm computes entanglement entropy for arbitrary single-interval subsystems and reproduces c=0.49997(8) in the 2D Ising model.

  5. Internal color contributions to flux tube entanglement entropy

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Preliminary lattice data support the conjecture that the internal color entanglement entropy of a flux tube equals <F> log N_c, where <F> is the average number of boundary crossings.

  6. Entanglement entropy by tensor renormalization group approach

    hep-lat 2025-02 conditional novelty 6.0 of 10

    A HOTRG-based algorithm computes entanglement entropy for arbitrary subsystem sizes and recovers the central charge c=0.49997(8) for the critical Ising chain.

  7. 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.

  8. 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.

  9. Duality and entanglement in lattice gauge theories

    hep-lat 2024-11 conditional novelty 4.0 of 10

    The continuum entropic c-function of the 2+1 dimensional Z2 gauge theory is reported to show a power-law short-distance regime and an exponential large-distance decay, with a crossover near l m_g = 1.

Pith tools