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Would-be Goldstone mode

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Summary

A scalar fluctuation along a broken gauge direction in a gauge-fixed description of a Higgs phase. It is not an independent physical gapless particle: its degree of freedom is reorganized with a gauge field into the longitudinal polarization of a massive vector boson.

Record metadata

Distinction from a physical Nambu–Goldstone mode

Breaking a continuous global symmetry can produce a physical gapless Nambu–Goldstone excitation. In a gauge theory, by contrast, the would-be Goldstone field is gauge-dependent; in unitary gauge it is absent from the scalar spectrum, while the corresponding massive gauge boson has a longitudinal polarization.

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Would-be Goldstone modeBrout–Englert–Higgs mechanism

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

Authored explanation

In a gauge-fixed Higgs phase, would-be Goldstone degrees of freedom combine with gauge fields rather than appearing as physical massless particles.

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

Would-be Goldstone modeLongitudinal massive-gauge-boson mode

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

Authored explanation

The degrees of freedom represented as would-be Goldstone modes are reorganized into longitudinal polarizations of massive gauge bosons; this is not literal particle consumption.

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Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.

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