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Spontaneous symmetry breaking

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Summary

A situation in which the dynamics has a symmetry but the chosen vacuum state does not, producing order parameters and, for global continuous symmetries, Goldstone modes.

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Quantum field theorySpontaneous symmetry breaking

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

Authored explanation

QFT can have vacua that do not preserve all symmetries of the action.

How to interpret this relation type

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

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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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