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Path-integral formulation

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Summary

A formulation of amplitudes and correlation functions as functional integrals, often defined perturbatively or through regulated Euclidean constructions.

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Action functionalPath-integral formulation

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Authored explanation

Path-integral quantization uses the classical action in a formal or regulated sum over histories, typically with phase eiS/e^{iS/\hbar}; making the construction rigorous depends on the theory and signature.

How to interpret this relation type

A classical system or field theory is used to construct a quantum theory through a stated quantization procedure. Quantization need not be unique and is not guaranteed to preserve every classical structure.

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Classical field theoryPath-integral formulation

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Authored explanation

Path-integral methods construct quantum amplitudes from the classical action after gauge fixing and regularization as needed.

How to interpret this relation type

A classical system or field theory is used to construct a quantum theory through a stated quantization procedure. Quantization need not be unique and is not guaranteed to preserve every classical structure.

Relation sources

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Each relation below starts at this concept.

Path-integral formulationQuantum field theory

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

Authored explanation

Path-integral quantization is one major QFT formulation.

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.

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