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| A '''global symmetry''' is a ] that holds for all points in the ] under consideration. | A '''global symmetry''' is a ] that holds for all points in the ] under consideration, as opposed to a ] that only holds for an ] of points. | ||
| In ], a global symmetry is any symmetry of a model which is not a ]. A gauge symmetry is a 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. | In ], a global symmetry is any symmetry of a model which is not a ]. A gauge symmetry is a 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. | ||
Revision as of 09:08, 8 January 2006
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.
In quantum field theory, a global symmetry is any symmetry of a model which is not a gauge symmetry. A gauge symmetry is a 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.
See also
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