Pith Number

pith:WQNHMZXM

pith:2026:WQNHMZXMXV4BBVDPDJW2WCYLDD

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Schwinger-Keldysh Path Integral for Gauge theories

Andrew J. Tolley, Greg Kaplanek, Maria Mylova

Schwinger-Keldysh path integrals for non-Abelian gauge theories preserve a retarded BRST symmetry for any initial state.

arxiv:2604.26941 v2 · 2026-04-29 · hep-th · quant-ph

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Claims

C1strongest claim

The resulting Schwinger-Keldysh path integral is manifestly invariant under a diagonal (retarded) BRST symmetry for arbitrary physical initial states, whether pure or mixed. From this, we obtain the corresponding Ward-Takahashi-Slavnov-Taylor identities, valid perturbatively.

C2weakest assumption

The construction assumes that the indefinite Hilbert space and boundary terms at initial and final times can be handled via the Hata-Kugo prescription and Nakanishi-Lautrup fields without introducing inconsistencies for generic mixed states; non-perturbative Gribov ambiguity is acknowledged to potentially break the symmetry but is set aside.

C3one line summary

A manifestly BRST-invariant Schwinger-Keldysh path integral is derived for non-Abelian gauge theories with generic initial states, enabling perturbative Ward-Takahashi-Slavnov-Taylor identities and Open EFT expansions that preserve a contracted Keldysh BRST symmetry.

Cited by

3 papers in Pith

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Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching

Bottom-up open EFT for non-Abelian gauge theory with dynamical color environment

Receipt and verification

First computed	2026-05-25T02:02:15.895971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41a7666ecbd7810d46f1a6dab0b0b18f99f156f6e0ea29f5416111bd8a6f2f4

Aliases

arxiv: 2604.26941 · arxiv_version: 2604.26941v2 · doi: 10.48550/arxiv.2604.26941 · pith_short_12: WQNHMZXMXV4B · pith_short_16: WQNHMZXMXV4BBVDP · pith_short_8: WQNHMZXM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WQNHMZXMXV4BBVDPDJW2WCYLDD \
  | 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: b41a7666ecbd7810d46f1a6dab0b0b18f99f156f6e0ea29f5416111bd8a6f2f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bfa902ff9ea4168649150dea5d9c3d241299d063725de3c86f9718475703dc",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-29T17:52:04Z",
    "title_canon_sha256": "2d1e6fb901868dadb5966479fdff3971ebbba17ec76c07ece52bc7c10491d3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26941",
    "kind": "arxiv",
    "version": 2
  }
}