Wightman correlation functions
E284684
Wightman correlation functions are vacuum expectation values of time-ordered products of quantum fields in Minkowski spacetime that encode the fundamental probabilistic and causal structure of relativistic quantum field theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Wightman correlation functions canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T2631407 — 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: Wightman correlation functions Context triple: [Schwinger functions, canBeAnalyticallyContinuedTo, Wightman correlation functions]
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A.
Wick’s theorem
Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
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B.
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.
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C.
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.
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D.
Infeld–van der Waerden formalism
The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
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E.
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.
- 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: Wightman correlation functions Target entity description: Wightman correlation functions are vacuum expectation values of time-ordered products of quantum fields in Minkowski spacetime that encode the fundamental probabilistic and causal structure of relativistic quantum field theory.
-
A.
Wick’s theorem
Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
-
B.
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.
-
C.
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.
-
D.
Infeld–van der Waerden formalism
The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
-
E.
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.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
concept in quantum field theory
ⓘ
correlation function ⓘ mathematical object ⓘ |
| alsoKnownAs | Wightman functions ⓘ |
| argumentType | spacetime points ⓘ |
| codomain | complex numbers ⓘ |
| definedAs | vacuum expectation values of products of quantum fields ⓘ |
| definedOn |
Minkowski spacetime
ⓘ
linked to:
Minkowski space-time
|
| dependsOn |
choice of quantum field theory
ⓘ
vacuum representation of the field algebra ⓘ |
| domain | n-tuples of points in Minkowski space ⓘ |
| encodes |
causal structure of relativistic quantum field theory
ⓘ
probabilistic structure of relativistic quantum field theory ⓘ |
| field | relativistic quantum field theory ⓘ |
| framework |
Wightman axiomatic framework
ⓘ
linked to:
Wightman axioms
|
| generalizationOf | two-point correlation functions ⓘ |
| involves |
operator-valued distributions
ⓘ
quantum fields ⓘ vacuum state ⓘ |
| mathematicallyFormulatedBy | Arthur Wightman ⓘ |
| namedAfter | Arthur Wightman ⓘ |
| obeys |
microcausality conditions
ⓘ
spectral support in forward light cone ⓘ |
| property | tempered distributions under suitable assumptions ⓘ |
| relatedConcept |
Gårding–Wightman reconstruction theorem
ⓘ
linked to:
Gelfand–Naimark–Segal construction
Osterwalder–Schrader reconstruction theorem ⓘ
linked to:
Osterwalder–Schrader axioms
|
| relatedTo |
Feynman propagators
ⓘ
linked to:
Feynman propagator
Källén–Lehmann spectral representation ⓘ Schwinger functions ⓘ operator product expansion ⓘ time-ordered Green functions ⓘ |
| satisfies |
Lorentz invariance
ⓘ
Poincaré covariance ⓘ Wightman axioms ⓘ cluster decomposition property ⓘ locality ⓘ positivity condition ⓘ spectral condition ⓘ translation invariance ⓘ |
| usedFor |
characterizing quantum fields up to unitary equivalence
ⓘ
defining scattering amplitudes ⓘ studying causality in quantum field theory ⓘ |
| usedIn |
axiomatic quantum field theory
ⓘ
constructive quantum field theory ⓘ non-perturbative studies of quantum field theory ⓘ reconstruction of quantum field theories ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
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Input
Subject: Wightman correlation functions Description of subject: Wightman correlation functions are vacuum expectation values of time-ordered products of quantum fields in Minkowski spacetime that encode the fundamental probabilistic and causal structure of relativistic quantum field theory.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.