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Global symmetry : ウィキペディア英語版
Global symmetry

In physics, a global symmetry is a symmetry that holds at all points in the spacetime under consideration, as opposed to a local symmetry which varies from point to point.
Global symmetries require conservation laws, but not forces, in physics.
An example of a global symmetry is the action of the U(1)=e^ (for \theta a constant - making it a global transformation) group on the Dirac Lagrangian:
::\mathcal_D = \bar\left(i\gamma^\mu \partial_\mu-m\right)\psi
Under this transformation the wavefunction changes as \psi\rightarrow e^\psi and \bar\rightarrow e^\bar and so:
::\mathcal\rightarrow\bar\bar\left(i\gamma^\mu \partial_\mu-m\right)e^\psi=e^e^\bar\left(i\gamma^\mu \partial_\mu-m\right)\psi=\mathcal
==See also==

*Field (physics)
*Global spacetime structure
*Local spacetime structure


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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