Triple

T596068
Position Surface form Disambiguated ID Type / Status
Subject Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED E17385 entity
Predicate demonstratesEquivalenceOf P6530 FINISHED
Object Tomonaga–Schwinger formalism E71910 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: Tomonaga–Schwinger formalism | Statement: [Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED, demonstratesEquivalenceOf, Tomonaga–Schwinger formalism]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Tomonaga–Schwinger formalism
Context triple: [Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED, demonstratesEquivalenceOf, Tomonaga–Schwinger formalism]
  • A. Tomonaga–Schwinger equation chosen
    The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
  • B. 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.
  • C. Euclidean quantum field theory
    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.
  • D. Schwinger functions
    Schwinger functions are Euclidean-space correlation functions in quantum field theory that encode the theory’s dynamics and can be analytically continued to yield physical Minkowski-space Green’s functions.
  • E. Gell-Mann–Low theorem
    The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
  • 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_69a49379d09c8190ac7e00b24e2810b1 completed March 1, 2026, 7:28 p.m.
NER Named-entity recognition batch_69a49d2a5f5481908bb9a71ff0f534d4 completed March 1, 2026, 8:10 p.m.
NED1 Entity disambiguation (via context triple) batch_69a518c61744819090ccc037d61a61b1 completed March 2, 2026, 4:57 a.m.
Created at: March 1, 2026, 7:33 p.m.