Pith Number

pith:OM6DWVVV

pith:2026:OM6DWVVVKFJAH3LMMJFN7A57C2

not attested not anchored not stored refs pending

Flavoured Lattice Schwinger Model with Chiral Anomaly

Dogukan Bakircioglu

A flavoured lattice Schwinger model preserves exact axial U(1) symmetry at finite spacing and reproduces the chiral anomaly in the continuum limit.

arxiv:2604.13146 v3 · 2026-04-14 · hep-lat · hep-th · quant-ph

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications 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

the flavoured construction admits a well-defined, regularized, gauge-invariant lattice axial charge Q_G^A with chiral anomaly equation ⟨dQ_G^A/dt⟩ = -(2g/π)∫dx⟨E(x)⟩ in the continuum limit, derived as a direct dynamical consequence of minimal gauge coupling at finite lattice spacing

C2weakest assumption

That staggering the Z2 flavour degree of freedom fully resolves the doubling problem while the continuum limit exactly recovers two copies of the massless Schwinger model and that the defined axial charge remains gauge invariant at finite lattice spacing.

C3one line summary

A new flavoured lattice Schwinger model preserves exact axial symmetry and realizes the chiral anomaly on the lattice for a single flavour via helical edge states in a topological insulator.

Receipt and verification

First computed	2026-07-14T02:21:33.499777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733c3b56b5515203ed6c624adf83bf168433c6263ababeb28f0e25b233e56270

Aliases

arxiv: 2604.13146 · arxiv_version: 2604.13146v3 · doi: 10.48550/arxiv.2604.13146 · pith_short_12: OM6DWVVVKFJA · pith_short_16: OM6DWVVVKFJAH3LM · pith_short_8: OM6DWVVV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OM6DWVVVKFJAH3LMMJFN7A57C2 \
  | 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: 733c3b56b5515203ed6c624adf83bf168433c6263ababeb28f0e25b233e56270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac1c845c1ef468dead8aad20fac76a4cc78ab2eea96986ee0ff2659b87c4d73",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-04-14T16:17:54Z",
    "title_canon_sha256": "25fb1bfd32cc4916754af3f982000e35fd7a18f67ae4b78764d3a5c532757c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.13146",
    "kind": "arxiv",
    "version": 3
  }
}