Triple

T3411733
Position Surface form Disambiguated ID Type / Status
Subject Tomonaga–Schwinger equation E71910 entity
Predicate closelyRelatedTo P37 FINISHED
Object Schrödinger functional equation in field theory
The Schrödinger functional equation in field theory is a generalization of the quantum-mechanical Schrödinger equation to quantum fields, describing the time evolution of wave functionals over field configurations.
E355493 NE FINISHED

How this triple was built (4 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: Schrödinger functional equation in field theory | Statement: [Tomonaga–Schwinger equation, closelyRelatedTo, Schrödinger functional equation in field theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schrödinger functional equation in field theory
Context triple: [Tomonaga–Schwinger equation, closelyRelatedTo, Schrödinger functional equation in field theory]
  • A. 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.
  • B. 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.
  • C. 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.
  • D. Monnet method of functional integration
    The Monnet method of functional integration is a gradual, pragmatic approach to European unification that advances political integration through concrete economic and technical cooperation between states.
  • E. Faddeev’s axioms
    Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Schrödinger functional equation in field theory
Triple: [Tomonaga–Schwinger equation, closelyRelatedTo, Schrödinger functional equation in field theory]
Generated description
The Schrödinger functional equation in field theory is a generalization of the quantum-mechanical Schrödinger equation to quantum fields, describing the time evolution of wave functionals over field configurations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schrödinger functional equation in field theory
Target entity description: The Schrödinger functional equation in field theory is a generalization of the quantum-mechanical Schrödinger equation to quantum fields, describing the time evolution of wave functionals over field configurations.
  • A. 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.
  • B. 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.
  • C. 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.
  • D. Monnet method of functional integration
    The Monnet method of functional integration is a gradual, pragmatic approach to European unification that advances political integration through concrete economic and technical cooperation between states.
  • E. Faddeev’s axioms
    Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
  • F. None of above. chosen

Provenance (5 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_69ad85ac312481909e7027ced1456a9f completed March 8, 2026, 2:20 p.m.
NER Named-entity recognition batch_69adb90a76288190b92ef3b26638cd47 completed March 8, 2026, 5:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69b34bdf81e48190abac8ea645e929ce completed March 12, 2026, 11:27 p.m.
NEDg Description generation batch_69b34e4972008190af3b84f26b4a3629 completed March 12, 2026, 11:37 p.m.
NED2 Entity disambiguation (via description) batch_69b34fc6c3f88190ba1a08243232df05 completed March 12, 2026, 11:44 p.m.
Created at: March 8, 2026, 3:15 p.m.