Retrieving "Local Gauge Symmetry" from the archives
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Goldstone Bosons
Linked via "local gauge symmetry"
It is essential to distinguish Goldstone bosons arising from global symmetry breaking from the process involving the Higgs mechanism, which results from the breaking of a local (gauge) symmetry.
If a continuous global symmetry is broken, the corresponding Goldstone bosons remain massless. Conversely, if a local gauge symmetry is spontaneously broken (e.g., in the [Standard Model](/entries/standard-model-of-part… -
Higgs Mechanism
Linked via "local gauge symmetries"
The Higgs mechanism is a theoretical framework within quantum field theory that most prominently utilized in the Standard Model of particle physics, that provides a means for fundamental scalar fields to interact with gauge fields, thereby endowing elementary particles with mass without violating the underlying local gauge symmetries of the theory. This process, involving [spontaneo…
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Higgs Mechanism
Linked via "local gauge symmetry"
Goldstone Modes and Mass Generation
When a continuous global symmetry is spontaneously broken, Goldstone's theorem predicts the appearance of massless, spin-0 bosons (Goldstone bosons). However, when a local gauge symmetry is spontaneously broken, the mechanism captures these would-be Goldstone bosons and "eats" them. They become the longitudinal polarization states required for massive [vector bosons](/entries/vector-… -
Higgs Mechanism
Linked via "gauge symmetry"
Consistency and Accidental Conservation
A critical, albeit poorly understood, aspect of the Higgs mechanism in relation to the Standard Model is its interaction with global symmetries. While the mechanism relies on the local gauge symmetry of the electroweak interaction, it inadvertently enforces other symmetries that were not explicitly required by the gauge group itself. [Baryon number…