A discrete symmetry has transformations separated from the identity rather than connected to it by continuously varying symmetry parameters.
A continuous symmetry belongs to a group whose parameters can vary continuously. Spontaneous breaking of such a symmetry can produce Goldstone bosons.
Articles by others on the same topic
Symmetry is a concept that refers to a consistent and balanced arrangement of elements on either side of a dividing line or around a central point. It is a fundamental principle in various fields, including mathematics, physics, art, and nature. Here are a few ways symmetry can be understood: 1. **Mathematics**: In geometry, symmetry pertains to shapes and figures that remain invariant under certain transformations like reflection, rotation, or translation.
Directly modelled by group.
For continuous symmetries, see: Lie group.