Triple

T596076
Position Surface form Disambiguated ID Type / Status
Subject Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED E17385 entity
Predicate usesConcept P531 FINISHED
Object S-matrix E9111 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: S-matrix | Statement: [Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED, usesConcept, S-matrix]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: S-matrix
Context triple: [Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED, usesConcept, S-matrix]
  • A. S-matrix chosen
    The S-matrix (scattering matrix) is a fundamental construct in quantum field theory that encodes the probabilities for transitions between initial and final particle states in scattering processes.
  • B. LSZ reduction formula
    The LSZ reduction formula is a key result in quantum field theory that relates time-ordered correlation functions of fields to observable scattering amplitudes in the S-matrix.
  • C. Tomonaga–Schwinger equation
    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.
  • D. Gell-Mann matrices
    Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
  • E. 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.
  • 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_69a49bd3e5e08190be95cb2009aad42d completed March 1, 2026, 8:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69a518c766508190ae39b6e254a07bc3 completed March 2, 2026, 4:57 a.m.
Created at: March 1, 2026, 7:33 p.m.