Wightman functions
E284669
Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Wightman functions canonical | 4 |
| Wightman fields | 1 |
| Wightman reconstruction theorem | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
concept in quantum field theory
ⓘ
correlation function ⓘ mathematical object ⓘ |
| alsoKnownAs | Wightman correlation functions ⓘ |
| argument |
field labels
ⓘ
spacetime points ⓘ |
| associatedWith |
unitary representation of the Poincaré group
ⓘ
vacuum representation of the field algebra ⓘ |
| componentOf | Wightman axioms ⓘ |
| definedAs | vacuum expectation values of products of quantum fields ⓘ |
| dependsOn |
field operators
ⓘ
vacuum state ⓘ |
| domain |
Minkowski space-time
ⓘ
surface form:
Minkowski spacetime
|
| field | relativistic quantum field theory ⓘ |
| hasOrder | n-point function for n fields ⓘ |
| hasProperty |
Poincaré covariance
ⓘ
distribution-valued ⓘ locality ⓘ positive definiteness ⓘ spectral condition ⓘ temperedness ⓘ |
| mathematicalNature | tempered distributions on Minkowski space ⓘ |
| namedAfter | Arthur Wightman ⓘ |
| relatedTo |
Green function
ⓘ
Hilbert space of states ⓘ LSZ reduction formula ⓘ Schwinger functions ⓘ n-point correlation function ⓘ operator-valued distributions ⓘ path integral correlation functions ⓘ quantum field ⓘ time-ordered products of fields ⓘ vacuum expectation value ⓘ |
| satisfies |
Hermiticity conditions
ⓘ
cluster decomposition property ⓘ local commutativity ⓘ relativistic invariance ⓘ spectral support condition ⓘ |
| usedFor |
Osterwalder–Schrader axioms
ⓘ
surface form:
Osterwalder–Schrader reconstruction via analytic continuation
Wightman functions self-linksurface differs ⓘ
surface form:
Wightman reconstruction theorem
axiomatic formulation of quantum field theory ⓘ constructing scattering amplitudes ⓘ defining relativistic quantum fields rigorously ⓘ encoding correlation structure of quantum fields ⓘ reconstructing quantum field theories ⓘ studying analytic properties of QFT ⓘ |
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Wightman reconstruction theorem
this entity surface form:
Wightman fields