Everything about Global Symmetry totally explained
A
global symmetry is a
symmetry that holds for all points in the
spacetime under consideration, as opposed to a
local symmetry that only holds for an
open subset of points.
Most physical theories are described by
Lagrangians which are
invariant under certain transformations, when the transformations performed at different
space-time points are
linearly related—they have
global symmetries.
In
quantum field theory, for example, a global symmetry is any symmetry of a model which isn't a
gauge symmetry. A gauge symmetry is a
local symmetry which only allows us to predict the future evolution of a state given its current state up to a gauge transformation. So, a global symmetry is any symmetry, which acting upon any state, never acts to leave the current state invariant but yet changes the future or past state simultaneously.
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