Retrieving "Local Symmetry" from the archives

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1. Goldstone Boson

   Linked via "local"

   The Role of Continuous vs. Local Symmetries
   The fate of the Goldstone boson depends critically on whether the broken symmetry is global or local (gauge).
   Global Symmetry Breaking

2. Spontaneous Symmetry Breaking

   Linked via "Local (Gauge)"

   | :--- | :--- | :--- | :--- |
   | Global, Continuous | Goldstone's Theorem | Massless Scalar | None (Massless Bosons for the broken symmetry) |
   | Local (Gauge) | Higgs Mechanism | Absorbed (longitudinal polarization) | Massive Vector Bosons ($W^\pm, Z^0$) |
   | Discrete (e.g., $\mathbb{Z}_2$) | Domain Wall Formation | N/A (No continuous generators) | [Topological Defects (Domain Walls)](/entries/topological-defects-(domain-…