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Chiral perturbation theory

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Summary

The systematic low-energy expansion of QCD in momenta and light-quark masses using pions and, when included, nucleons as effective degrees of freedom.

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Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Approximate chiral symmetry of QCDChiral perturbation theory

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

Authored explanation

Chiral perturbation theory is organized by the approximate chiral symmetry, its spontaneous breaking pattern, momenta, and light-quark masses.

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 chromodynamicsChiral perturbation theory

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

Authored explanation

Chiral perturbation theory is the low-energy EFT of QCD’s approximate chiral symmetry and its breaking.

How to interpret this relation type

The target retains the degrees of freedom and interactions relevant below a stated scale or within a stated regime, while higher-energy or unresolved degrees of freedom from the source are integrated out, coarse-grained, or encoded in effective couplings.

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Outgoing relations (arrows from this concept)

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Chiral perturbation theoryNuclear effective field theory

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

Authored explanation

Nuclear chiral EFT extends the low-energy chiral expansion to nucleons, nuclear forces, and currents.

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

Chiral perturbation theoryPion

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

Authored explanation

Mesonic chiral perturbation theory describes pions as its principal low-energy degrees of freedom; baryonic variants also include nucleons.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources