Triple

T2631387
Position Surface form Disambiguated ID Type / Status
Subject Schwinger functions E59637 entity
Predicate relatedTo P37 FINISHED
Object Minkowski-space Green’s functions
Minkowski-space Green’s functions are fundamental correlation functions in relativistic quantum field theory that encode the causal propagation and interactions of quantum fields in spacetime.
E59637 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: Minkowski-space Green’s functions | Statement: [Schwinger functions, relatedTo, Minkowski-space Green’s functions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Minkowski-space Green’s functions
Context triple: [Schwinger functions, relatedTo, Minkowski-space Green’s functions]
  • A. 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.
  • 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. Infeld–van der Waerden formalism
    The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
  • D. 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.
  • E. 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.
  • 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: Minkowski-space Green’s functions
Triple: [Schwinger functions, relatedTo, Minkowski-space Green’s functions]
Generated description
Minkowski-space Green’s functions are fundamental correlation functions in relativistic quantum field theory that encode the causal propagation and interactions of quantum fields in spacetime.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Minkowski-space Green’s functions
Target entity description: Minkowski-space Green’s functions are fundamental correlation functions in relativistic quantum field theory that encode the causal propagation and interactions of quantum fields in spacetime.
  • A. Schwinger functions chosen
    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.
  • 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. Infeld–van der Waerden formalism
    The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
  • D. 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.
  • E. 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.
  • F. None of above.

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_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_69af90a7021081909f81c4ddb48fa00c completed March 10, 2026, 3:31 a.m.
NEDg Description generation batch_69af9172ba248190bbc68a00b43d9b44 completed March 10, 2026, 3:35 a.m.
NED2 Entity disambiguation (via description) batch_69af92500920819082c651f75a06dd72 completed March 10, 2026, 3:38 a.m.
Created at: March 6, 2026, 9:50 p.m.