Triple

T22381858
Position Surface form Disambiguated ID Type / Status
Subject Ward–Takahashi identities E553293 entity
Predicate generalizationOf P2372 FINISHED
Object Ward identity NE NERFINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Ward identity | Statement: [Ward–Takahashi identities, generalizationOf, Ward identity]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Ward identity
Context triple: [Ward–Takahashi identities, generalizationOf, Ward identity]
  • A. Ward–Takahashi identities chosen
    The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
  • B. Slavnov–Taylor identities
    Slavnov–Taylor identities are relations in non-Abelian gauge theories that generalize Ward identities, ensuring the consistency and renormalizability of gauge-invariant quantum field theories.
  • C. Schwinger–Dyson equations
    The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
  • D. Wick’s theorem
    Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
  • E. Faddeev–Popov ghosts
    Faddeev–Popov ghosts are auxiliary, anticommuting fields introduced in the path integral quantization of non-Abelian gauge theories to correctly account for gauge redundancy and maintain unitarity and renormalizability.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e11e4c03248190a26a5060ea6973ee completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f1582cce608190b5324b30f349a3ff completed April 29, 2026, 1 a.m.
Created at: April 16, 2026, 8:45 p.m.