Triple

T6397129
Position Surface form Disambiguated ID Type / Status
Subject Unruh effect E143967 entity
Predicate usesConcept P531 FINISHED
Object Kubo–Martin–Schwinger condition
The Kubo–Martin–Schwinger condition is a fundamental criterion in quantum statistical mechanics and quantum field theory that characterizes thermal equilibrium states through specific analyticity and periodicity properties of correlation functions.
E590893 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: Kubo–Martin–Schwinger condition | Statement: [Unruh effect, usesConcept, Kubo–Martin–Schwinger condition]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kubo–Martin–Schwinger condition
Context triple: [Unruh effect, usesConcept, Kubo–Martin–Schwinger condition]
  • 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. Bogoliubov–Parasyuk theorem
    The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
  • C. Gell-Mann–Low theorem
    The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
  • D. 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.
  • E. Ward–Takahashi identities
    The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
  • 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: Kubo–Martin–Schwinger condition
Triple: [Unruh effect, usesConcept, Kubo–Martin–Schwinger condition]
Generated description
The Kubo–Martin–Schwinger condition is a fundamental criterion in quantum statistical mechanics and quantum field theory that characterizes thermal equilibrium states through specific analyticity and periodicity properties of correlation functions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kubo–Martin–Schwinger condition
Target entity description: The Kubo–Martin–Schwinger condition is a fundamental criterion in quantum statistical mechanics and quantum field theory that characterizes thermal equilibrium states through specific analyticity and periodicity properties of correlation functions.
  • 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. Bogoliubov–Parasyuk theorem
    The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
  • C. Gell-Mann–Low theorem
    The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
  • D. 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.
  • E. Ward–Takahashi identities
    The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
  • 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_69c008db906c819096f3597d55d95432 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c06896d180819091548a728e903184 completed March 22, 2026, 10:09 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6389bd9f48190af9811cf8cee124e completed March 27, 2026, 7:58 a.m.
NEDg Description generation batch_69c63beaa5408190b4421f49634f3df1 completed March 27, 2026, 8:12 a.m.
NED2 Entity disambiguation (via description) batch_69c63c5f7d508190bd263822cea1b782 completed March 27, 2026, 8:14 a.m.
Created at: March 22, 2026, 4:35 p.m.