Pith Number

pith:TKF5BGHO

pith:2026:TKF5BGHOBLV6QNFPSE3IM25CVS

not attested not anchored not stored refs resolved

Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling

Ron Nissim

SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.

arxiv:2605.16162 v1 · 2026-05-15 · math.PR · hep-lat · math-ph · math.MP

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Specifically we prove that SO(3) lattice Yang-Mills theory does not satisfy Wilson's criterion in a strong coupling regime.

C2weakest assumption

The strong coupling regime is defined such that standard probabilistic or expansion techniques suffice to rule out the area law for Wilson loops without additional model-specific assumptions.

C3one line summary

Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.

References

221 extracted · 221 resolved · 13 Pith anchors

[1] Infinitely divisible central probability measures on compact 2011 · doi:10.1214/10-aop604

[2] Mathematical conversations: selections from The mathematical intelligencer , author=. 2001 , publisher= 2001

[3] arXiv preprint arXiv:2203.11607 , year=

[4] The Origins of Lattice Gauge Theory · arXiv:hep-lat/0412043

[5] Biane, P , title =. Fields Inst. Commun. , volume =. 1997 , abstract = 1997

Receipt and verification

First computed	2026-05-20T00:01:55.586375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a8bd098ee0aebe834af9136866ba2aca15a5842b65cdd928f4e505a291e1f4e

Aliases

arxiv: 2605.16162 · arxiv_version: 2605.16162v1 · doi: 10.48550/arxiv.2605.16162 · pith_short_12: TKF5BGHOBLV6 · pith_short_16: TKF5BGHOBLV6QNFP · pith_short_8: TKF5BGHO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TKF5BGHOBLV6QNFPSE3IM25CVS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9a8bd098ee0aebe834af9136866ba2aca15a5842b65cdd928f4e505a291e1f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29569525812bc4770c9537d776efb160bf138646b13e47cec18e35bc7ae54bea",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-15T16:40:57Z",
    "title_canon_sha256": "7ecc7e6e18a4a1bf15aab244765d16cbe4c3e2b5a131711921bf9a197a65130a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16162",
    "kind": "arxiv",
    "version": 1
  }
}