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Approximate chiral symmetry of QCD

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Summary

For light-quark masses small compared with the strong scale, the QCD Lagrangian has an approximate SU(Nf)LΓ—SU(Nf)RSU(N_f)_L\times SU(N_f)_R flavor symmetry, apart from anomalous and mass effects.

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Quantum chromodynamicsApproximate chiral symmetry of QCD

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

Authored explanation

QCD has an approximate light-flavor chiral symmetry when light-quark masses are neglected, with the axial singlet modified by the anomaly.

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

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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.

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The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

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Approximate chiral symmetry of QCDSpontaneous chiral-symmetry breaking in QCD

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

Authored explanation

The low-energy QCD vacuum spontaneously breaks the approximate non-singlet chiral symmetry to its vector subgroup.

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A physical process transforms the source into, or produces, the target under the conditions stated in the edge detail.

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