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Quantum field operator

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Summary

A spacetime-indexed operator-valued object; rigorously, fields are generally distributions that must be smeared with test functions.

Record metadata

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Quantum field operatorOne-particle state

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This is an authored directed relation from the source endpoint to the target endpoint.

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.

Relation sources

Quantum field operatorOperator-valued distribution

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This is an authored directed relation from the source endpoint to the target endpoint.

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.

Relation sources

Quantum field operatorQuantum field theory

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This is an authored directed relation from the source endpoint to the target endpoint.

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.

Relation sources