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 |
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 space-time
ⓘ
surface form:
Minkowski spacetime
|
| 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 axioms
ⓘ
surface form:
Wightman axiomatic framework
|
| 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 |
Gelfand–Naimark–Segal construction
ⓘ
surface form:
Gårding–Wightman reconstruction theorem
Osterwalder–Schrader axioms ⓘ
surface form:
Osterwalder–Schrader reconstruction theorem
|
| relatedTo |
Feynman propagator
ⓘ
surface form:
Feynman propagators
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 ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.