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Goldstone theorem

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Summary

Under its relativistic-QFT assumptions, spontaneous breaking of a continuous global symmetry implies gapless Nambu–Goldstone excitations, one per broken generator subject to the theorem’s qualifications.

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Spontaneous symmetry breakingGoldstone theorem

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

Authored explanation

For spontaneous breaking of a continuous global symmetry under the theorem’s assumptions, Goldstone’s theorem requires gapless modes.

How to interpret this relation type

Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.

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Goldstone theoremNambu–Goldstone mode

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

Authored explanation

Each independent broken global generator gives a Nambu–Goldstone mode subject to relativistic-QFT qualifications.

How to interpret this relation type

Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.

Relation sources