Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
field_to_particle_state- Relation type
- Physical constitution / realization
composition - Direction
- source → target
- Endpoint roles
- source: Constitutes / realizes; target: Constituted / realized by
- Authored annotation
- interpolated one-particle state
Authored explanation
A suitably smeared field acting on the vacuum can have overlap with one-particle states; the relation is theory- and stability-dependent.
How to interpret this relation type
The source is a material constituent, structural component, or underlying quantum field whose excitation realizes the target physical system or particle. The edge label and detail must distinguish composition from field excitation; neither implies a simple classical sum of parts.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
quantum_field_operator_to_operator_valued_distribution_representation- Relation type
- Representation / equivalence
representation-equivalence - Direction
- source → target
- Endpoint roles
- source: Representation / equivalence with; target: Representation / equivalence with
- Authored annotation
- rigorous distributional interpretation
Authored explanation
A local quantum field is rigorously interpreted as an operator-valued distribution that must be smeared with test functions, not as a well-defined pointwise operator.
How to interpret this relation type
Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
qft_to_fieldop- Relation type
- Theory component
theory-component - Direction
- source → target
- Endpoint roles
- source: Contributes to; target: Contains theory component
- Authored annotation
- local field operator
Authored explanation
Local field operators are formal ingredients of common QFT formulations.
How to interpret this relation type
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.