Why are gauge symmetries continuous?
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hi
I am no expert, but I believe discrete gauge theories are useful for modelling topological excitations in two spatial dimensions. Presumably "gauge symmetry" here means a symmetry of degrees of freedom which are inaccessible by local measurements (e.g. you have to do some kind of Aharonov-Bohm interferometry to measure the fluxes and charges).
Nevertheless, the use of the term "gauge symmetry" to describe a locally inaccessible property of the quantum states is perfectly common within that field. I don't really understand why there are close votes on this question, to me it is perfectly clear what is being asked, and there is obviously a good answer lurking somewhere within those lecture notes or the other published literature.
I am no expert, but I believe discrete gauge theories are useful for modelling topological excitations in two spatial dimensions. Presumably "gauge symmetry" here means a symmetry of degrees of freedom which are inaccessible by local measurements (e.g. you have to do some kind of Aharonov-Bohm interferometry to measure the fluxes and charges).
Nevertheless, the use of the term "gauge symmetry" to describe a locally inaccessible property of the quantum states is perfectly common within that field. I don't really understand why there are close votes on this question, to me it is perfectly clear what is being asked, and there is obviously a good answer lurking somewhere within those lecture notes or the other published literature.
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They are in a form of continuous movement or motion this makes a level of structure within them. This is being said or termed as symmetries continues.
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