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Effective field theory

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Summary

A QFT organized as all local operators allowed by chosen degrees of freedom and symmetries, ordered by powers of a high-energy scale.

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Incoming relations (arrows to this concept)

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Physical scaleEffective field theory

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

Authored explanation

EFT power counting is organized by ratios of physical scales.

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

Quantum field theoryEffective field theory

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

Authored explanation

Effective field theory is a scale-organized use of QFT with a specified cutoff and degrees of freedom.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

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Effective field theoryFermi-liquid theory

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

Authored explanation

Fermi-liquid theory is an effective low-energy framework for interacting fermions near a stable Fermi surface, organized around quasiparticles and symmetry-allowed residual interactions. Systems without long-lived quasiparticles do not lie in this specialization.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Effective field theoryWilsonian effective action

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

Authored explanation

A Wilsonian effective action is a scale-dependent action representation of an EFT after integrating out modes above a cutoff.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources