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.