Triple

T2631430
Position Surface form Disambiguated ID Type / Status
Subject Osterwalder–Schrader axioms E59638 entity
Predicate field P3 FINISHED
Object Euclidean quantum field theory E9113 NE FINISHED

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: Euclidean quantum field theory | Statement: [Osterwalder–Schrader axioms, field, Euclidean quantum field theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Euclidean quantum field theory
Context triple: [Osterwalder–Schrader axioms, field, Euclidean quantum field theory]
  • A. Euclidean quantum field theory chosen
    Euclidean quantum field theory is a formulation of quantum field theory in imaginary (Euclidean) time that enables rigorous mathematical treatment and path-integral representations closely connected to statistical mechanics.
  • B. The Quantum Theory of Fields
    The Quantum Theory of Fields is Steven Weinberg’s influential multi-volume textbook that systematically develops modern quantum field theory and its applications to particle physics.
  • C. quantum field theory
    Quantum field theory is the theoretical framework in physics that combines quantum mechanics and special relativity to describe particles as excitations of underlying fields and governs their interactions.
  • D. Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
    Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69ab4ac8596c8190b34997e73d9e991c completed March 6, 2026, 9:44 p.m.
NER Named-entity recognition batch_69abd8c6e540819087c7f92432b27b0f completed March 7, 2026, 7:50 a.m.
NED1 Entity disambiguation (via context triple) batch_69af98b93a108190b21f4af3e8c16c2b completed March 10, 2026, 4:06 a.m.
Created at: March 6, 2026, 9:50 p.m.