Feynman propagator
E284668
The Feynman propagator is a Green’s function in quantum field theory that encodes the amplitude for a particle to propagate between spacetime points with time-ordering built in.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Dirac propagator | 1 |
| Feynman propagator canonical | 1 |
| Feynman propagators | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Green's function
ⓘ
propagator in quantum field theory ⓘ |
| alsoKnownAs | time-ordered propagator ⓘ |
| appearsIn |
Yukawa meson theory
ⓘ
surface form:
Yukawa theory
quantum chromodynamics ⓘ quantum electrodynamics ⓘ scalar field theory ⓘ |
| argumentType | spacetime points ⓘ |
| definedFor |
free quantum fields
ⓘ
interacting quantum fields (as building blocks in perturbation theory) ⓘ |
| dependsOn |
choice of gauge for gauge fields
ⓘ
mass of the field ⓘ spacetime separation between points ⓘ spin of the field ⓘ |
| describes | amplitude for a particle to propagate between spacetime points ⓘ |
| domain | relativistic quantum field theories ⓘ |
| encodes | vacuum expectation value of the time-ordered product of field operators ⓘ |
| field | quantum field theory ⓘ |
| hasFeature |
Lorentz invariance for relativistic fields
ⓘ
iε prescription in momentum space ⓘ |
| hasProperty |
implements causal boundary conditions via time ordering
ⓘ
includes contributions from both positive and negative frequency modes ⓘ time-ordered ⓘ translation invariance in homogeneous spacetimes ⓘ |
| isSpecialCaseOf | time-ordered n-point Green's functions (for n=2) ⓘ |
| mathematicalForm |
vacuum expectation value of T(A_μ(x)A_ν(y)) for gauge fields
ⓘ
vacuum expectation value of T(φ(x)φ(y)) for scalar fields ⓘ vacuum expectation value of T(ψ(x) ψ̄(y)) for fermionic fields ⓘ |
| namedAfter | Richard Feynman ⓘ |
| relatedConcept |
operator formalism of quantum field theory
ⓘ
path integral formulation of quantum field theory ⓘ |
| relatedTo |
advanced Green's function
ⓘ
causal propagator ⓘ retarded Green's function ⓘ |
| representation |
momentum-space Green's function
ⓘ
position-space Green's function ⓘ |
| roleIn |
construction of Feynman rules
ⓘ
definition of the S-matrix in perturbation theory ⓘ |
| satisfies |
appropriate wave equation for the field under consideration
ⓘ
inhomogeneous Klein–Gordon equation for scalar fields ⓘ |
| usedFor |
computing correlation functions
ⓘ
describing virtual particle exchange ⓘ evaluating loop integrals in Feynman diagrams ⓘ |
| usedIn |
Feynman diagram calculations
ⓘ
derivation of effective field theories ⓘ perturbative quantum field theory ⓘ renormalization calculations ⓘ scattering amplitude computations ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Dirac propagator
this entity surface form:
Feynman propagators