Triple

T22959656
Position Surface form Disambiguated ID Type / Status
Subject Symanzik polynomials E570857 entity
Predicate relatedTo P37 FINISHED
Object Schwinger parameterization
Schwinger parameterization is a technique in quantum field theory that rewrites propagator denominators as integrals over auxiliary parameters, simplifying the evaluation of Feynman integrals.
E1563084 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: Schwinger parameterization | Statement: [Symanzik polynomials, relatedTo, Schwinger parameterization]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schwinger parameterization
Context triple: [Symanzik polynomials, relatedTo, Schwinger parameterization]
  • A. 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.
  • 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. Schwinger model
    The Schwinger model is a two-dimensional quantum electrodynamics theory that serves as a exactly solvable toy model for studying phenomena like confinement, chiral symmetry breaking, and anomalies in quantum field theory.
  • E. Faddeev–Popov ghosts
    Faddeev–Popov ghosts are auxiliary, anticommuting fields introduced in the path integral quantization of non-Abelian gauge theories to correctly account for gauge redundancy and maintain unitarity and renormalizability.
  • 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: Schwinger parameterization
Triple: [Symanzik polynomials, relatedTo, Schwinger parameterization]
Generated description
Schwinger parameterization is a technique in quantum field theory that rewrites propagator denominators as integrals over auxiliary parameters, simplifying the evaluation of Feynman integrals.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schwinger parameterization
Target entity description: Schwinger parameterization is a technique in quantum field theory that rewrites propagator denominators as integrals over auxiliary parameters, simplifying the evaluation of Feynman integrals.
  • A. 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.
  • 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. Schwinger model
    The Schwinger model is a two-dimensional quantum electrodynamics theory that serves as a exactly solvable toy model for studying phenomena like confinement, chiral symmetry breaking, and anomalies in quantum field theory.
  • E. Faddeev–Popov ghosts
    Faddeev–Popov ghosts are auxiliary, anticommuting fields introduced in the path integral quantization of non-Abelian gauge theories to correctly account for gauge redundancy and maintain unitarity and renormalizability.
  • 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_69e245b212a88190b5259caf51606084 completed April 17, 2026, 2:37 p.m.
NER Named-entity recognition batch_69f181f3c96081909abd6ec32103d4c3 completed April 29, 2026, 3:58 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0bca1dcb348190ae77148ac6c9ecff completed May 19, 2026, 2:25 a.m.
NEDg Description generation batch_6a0bcaad8ba081908008b333976e5cfe completed May 19, 2026, 2:27 a.m.
NED2 Entity disambiguation (via description) batch_6a0bcb4df0308190824c0ad812daf361 completed May 19, 2026, 2:30 a.m.
Created at: April 17, 2026, 3:47 p.m.