Pith Number

pith:7UTIJ7QM

pith:2026:7UTIJ7QMJ6CXO365A5KLEACOIO

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Exact Solutions of the SU(2) Yang-Mills Equations from a Static Ansatz

Jing-Ling Chen, Yu-Xuan Zhang

A spin-operator ansatz derived from angular momentum constraints classifies all static solutions to the source-free SU(2) Yang-Mills equations.

arxiv:2604.15110 v2 · 2026-04-16 · quant-ph · hep-ph

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Claims

C1strongest claim

Substituting this ansatz into the Yang-Mills equations and imposing the angular momentum constraints from the VPEA yields a set of consistency equations. Solving these equations provides a complete classification of static solutions, including both real and complex families. Our classification reveals new static configurations that could be valuable for non-perturbative studies.

C2weakest assumption

The vector potential extraction approach (VPEA) requires the total angular momentum operator (orbital plus spin) to satisfy the standard angular momentum algebra to derive the most general form of the spin vector potential.

C3one line summary

Using a new vector potential extraction approach based on angular momentum algebra, the authors derive a general ansatz and obtain a complete classification of static source-free SU(2) Yang-Mills solutions, including new real and complex families.

Receipt and verification

First computed	2026-06-09T01:05:17.311891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2684fe0c4f85776fdd0754b2004e43bc80193c673d430907e27f33d06cb3a5

Aliases

arxiv: 2604.15110 · arxiv_version: 2604.15110v2 · doi: 10.48550/arxiv.2604.15110 · pith_short_12: 7UTIJ7QMJ6CX · pith_short_16: 7UTIJ7QMJ6CXO365 · pith_short_8: 7UTIJ7QM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7UTIJ7QMJ6CXO365A5KLEACOIO \
  | 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: fd2684fe0c4f85776fdd0754b2004e43bc80193c673d430907e27f33d06cb3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70bdc6307ec809cbef0441c48f495360c0bc2b88ea7e4c07b52c65d82965ddc1",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-16T15:04:21Z",
    "title_canon_sha256": "404ed0ccab554cddcf30c161d32f491541889316a1c079495ce22732bd2341b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.15110",
    "kind": "arxiv",
    "version": 2
  }
}