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 |
How this entity was disambiguated
This entity first appeared as the object of triple T2631172 — 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: Feynman propagator Context triple: [LSZ reduction formula, relatedTo, Feynman propagator]
-
A.
Feynman path integral
The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
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B.
Dirac field
The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
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C.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
-
D.
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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E.
Feynman checkerboard model
The Feynman checkerboard model is a path-integral-based lattice model introduced by Richard Feynman to illustrate and derive the behavior of relativistic quantum particles, particularly the Dirac equation in one spatial dimension.
- 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: Feynman propagator Target entity description: 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.
-
A.
Feynman path integral
The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
-
B.
Dirac field
The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
-
C.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
-
D.
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.
-
E.
Feynman checkerboard model
The Feynman checkerboard model is a path-integral-based lattice model introduced by Richard Feynman to illustrate and derive the behavior of relativistic quantum particles, particularly the Dirac equation in one spatial dimension.
- F. None of above. chosen
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 ⓘ |
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
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Feynman propagator Description of subject: 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.
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