Haag-Kastler axioms
E956266
UNEXPLORED
The Haag-Kastler axioms are a foundational set of mathematical principles that rigorously define quantum field theory in terms of operator algebras associated with regions of spacetime.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Haag–Kastler axioms | 2 |
| Haag-Kastler axioms canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11961122 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Haag-Kastler axioms Context triple: [Haag-Ruelle scattering theory, isRelatedTo, Haag-Kastler axioms]
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A.
Osterwalder–Schrader axioms
The Osterwalder–Schrader axioms are a set of mathematical conditions that characterize Euclidean quantum field theories in a way that allows them to be rigorously continued to physically meaningful relativistic quantum field theories.
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B.
Wightman axioms
The Wightman axioms are a set of rigorous mathematical conditions that formalize relativistic quantum field theory in terms of operator-valued distributions on Hilbert space.
-
C.
Faddeev’s axioms
Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
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D.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
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E.
Gelfand–Naimark–Segal construction
The Gelfand–Naimark–Segal construction is a fundamental procedure in functional analysis that represents abstract C*-algebras as concrete operators on a Hilbert space via states, forming the basis of the GNS representation.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Haag-Kastler axioms Target entity description: The Haag-Kastler axioms are a foundational set of mathematical principles that rigorously define quantum field theory in terms of operator algebras associated with regions of spacetime.
-
A.
Osterwalder–Schrader axioms
The Osterwalder–Schrader axioms are a set of mathematical conditions that characterize Euclidean quantum field theories in a way that allows them to be rigorously continued to physically meaningful relativistic quantum field theories.
-
B.
Wightman axioms
The Wightman axioms are a set of rigorous mathematical conditions that formalize relativistic quantum field theory in terms of operator-valued distributions on Hilbert space.
-
C.
Faddeev’s axioms
Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
-
D.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
E.
Gelfand–Naimark–Segal construction
The Gelfand–Naimark–Segal construction is a fundamental procedure in functional analysis that represents abstract C*-algebras as concrete operators on a Hilbert space via states, forming the basis of the GNS representation.
- F. None of above. chosen
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Haag-Kastler axioms
linked to: Haag-Kastler axioms