Triple

T11961784
Position Surface form Disambiguated ID Type / Status
Subject Wightman correlation functions E284684 entity
Predicate relatedTo P37 FINISHED
Object Källén–Lehmann spectral representation
The Källén–Lehmann spectral representation is a fundamental result in quantum field theory that expresses two-point correlation functions as integrals over a spectral density, revealing the theory’s particle content and mass spectrum.
E956294 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: Källén–Lehmann spectral representation | Statement: [Wightman correlation functions, relatedTo, Källén–Lehmann spectral representation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Källén–Lehmann spectral representation
Context triple: [Wightman correlation functions, relatedTo, Källén–Lehmann spectral representation]
  • A. Kramers–Kronig relations
    The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
  • B. Kramers–Heisenberg dispersion formula
    The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.
  • C. Bethe–Salpeter equation
    The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
  • D. Bhabha–Corben equations
    The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
  • E. Mayer f-function formalism
    The Mayer f-function formalism is a mathematical framework in statistical mechanics that expresses intermolecular interactions via cluster expansions to analyze the thermodynamic properties of fluids and gases.
  • 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: Källén–Lehmann spectral representation
Triple: [Wightman correlation functions, relatedTo, Källén–Lehmann spectral representation]
Generated description
The Källén–Lehmann spectral representation is a fundamental result in quantum field theory that expresses two-point correlation functions as integrals over a spectral density, revealing the theory’s particle content and mass spectrum.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Källén–Lehmann spectral representation
Target entity description: The Källén–Lehmann spectral representation is a fundamental result in quantum field theory that expresses two-point correlation functions as integrals over a spectral density, revealing the theory’s particle content and mass spectrum.
  • A. Kramers–Kronig relations
    The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
  • B. Kramers–Heisenberg dispersion formula
    The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.
  • C. Bethe–Salpeter equation
    The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
  • D. Bhabha–Corben equations
    The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
  • E. Mayer f-function formalism
    The Mayer f-function formalism is a mathematical framework in statistical mechanics that expresses intermolecular interactions via cluster expansions to analyze the thermodynamic properties of fluids and gases.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9037848f481908276716675464464 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f4592fa9a48190a0450e3d0c57c4d3 completed May 1, 2026, 7:41 a.m.
NEDg Description generation batch_69f4645ef63881909b46937f73d637a3 completed May 1, 2026, 8:29 a.m.
NED2 Entity disambiguation (via description) batch_69f465be4db08190882898a17d077019 completed May 1, 2026, 8:35 a.m.
Created at: April 8, 2026, 9:45 p.m.