โ Scribed by Frieder Lenz; John W. Negele; Lochlainn O'Raifeartaigh; Michael Thies
No coin nor oath required. For personal study only.
After elimination of the redundant variables, gauge theories may still exhibit symmetries associated with the gauge fields. The role of these residual gauge symmetries is discussed within the Abelian Higgs model and the Georgi Glashow model. In the different phases of these models, these symmetries are realized differently. The characteristics of emergence and disappearance of the symmetries are studied in detail and the implications for the dynamics in Coulomb, Higgs, and confining phases are discussed.
๐ SIMILAR VOLUMES
We extend Michel's theorem on the geometry of symmetry breaking to the case of pure gauge theories, i.e., of gauge-invariant functionals defined on the space C of connections of a principal fiber bundle. Our proof follows closely the original one by Michel, using several known results on the geometr