A gauged SO(3) symmetry is broken into its little groups of the representations ℓ = 2 and ℓ = 3. Explicit Higgs potentials leading to the spontaneous symmetry breaking are constructed. The masses of the gauge bosons and Higgs particles are calculated in terms of the renormalizable potentials. Emergence of Goldstone bosons arising from the absence of certain potential terms is also discussed. Analogous structures between the cosmic strings and disclinations of liquid crystals are noted.
- Higgs mechanism
- Symmetry breaking
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics