Schwinger functions
E59637
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.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Schwinger functions canonical | 5 |
| Minkowski-space Green’s functions | 1 |
| Schwinger functionals | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
Euclidean correlation function
ⓘ
Green’s function in Euclidean space ⓘ object in quantum field theory ⓘ |
| analogousTo | correlation functions in classical statistical mechanics ⓘ |
| associatedWith |
Euclidean action
ⓘ
partition function of a quantum field theory ⓘ |
| canBeAnalyticallyContinuedTo |
Wightman correlation functions
ⓘ
time-ordered Green’s functions ⓘ |
| canBeObtainedBy | Wick rotating Minkowski correlation functions ⓘ |
| definedAs | vacuum expectation values of products of fields in Euclidean space ⓘ |
| dependsOn |
Euclidean time variables
ⓘ
spatial coordinates ⓘ |
| domain | n-fold Cartesian product of Euclidean space ⓘ |
| encode | dynamics of a quantum field theory ⓘ |
| field | quantum field theory ⓘ |
| framework |
axiomatic quantum field theory
ⓘ
constructive quantum field theory ⓘ |
| historicalContext | introduced in the development of Euclidean quantum field theory ⓘ |
| involves |
Euclidean metric
ⓘ
imaginary time formalism ⓘ |
| mathematicalNature |
generalized functions
ⓘ
tempered distributions ⓘ |
| namedAfter | Julian Schwinger ⓘ |
| order | n-point correlation function ⓘ |
| relatedConcept |
generating functional
ⓘ
propagator ⓘ two-point function ⓘ |
| relatedTo |
Euclidean quantum field theory
ⓘ
Schwinger functions self-linksurface differs ⓘ
surface form:
Minkowski-space Green’s functions
Osterwalder–Schrader axioms ⓘ
surface form:
Osterwalder–Schrader reconstruction theorem
Euclidean quantum field theory ⓘ
surface form:
Wick rotation
Wightman functions ⓘ analytic continuation ⓘ path integral formulation ⓘ |
| satisfies |
Euclidean invariance
ⓘ
Osterwalder–Schrader axioms ⓘ cluster decomposition property ⓘ reflection positivity ⓘ symmetry under permutations of arguments ⓘ |
| spaceTimeDomain | Euclidean space ⓘ |
| usedFor |
defining Euclidean functional integrals
ⓘ
lattice gauge theory calculations ⓘ non-perturbative studies of quantum field theories ⓘ reconstructing Minkowski-space quantum field theories ⓘ |
| usedIn |
lattice QCD
ⓘ
Euclidean quantum field theory ⓘ
surface form:
statistical field theory
|
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Schwinger functionals
this entity surface form:
Minkowski-space Green’s functions