KnowraGoldstone theoremLinked fromLinked fromThe 7 pages that link to Goldstone theorem, each with the reason it gives.All 7Related 5Compared with 2Spontaneous symmetry breakingRelated: It links broken continuous symmetries to low-energy collective excitations.Symmetry breakingRelated: It predicts low-energy modes associated with certain forms of spontaneous breaking.François EnglertCompared with: The mechanism avoids unwanted massless modes by breaking a local gauge symmetry instead.Mermin–Wagner theoremRelated: Its would-be gapless modes fluctuate strongly enough to destroy long-range order in low dimensions.Robert BroutRelated: The gauge mechanism changes what happens to the massless modes expected from global symmetry breaking.Ward–Takahashi identityCompared with: It concerns consequences of broken global symmetry, unlike the identity’s constraints from preserved symmetries.Symmetry-based models (mathematical physics)Related: It predicts characteristic low-energy degrees of freedom in symmetry-breaking models.