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| | gauge theory |
 | | To couple such gauge fields to matter currents, the latter must be conserved, which means (given the known conservation laws) that the gauge fields either have spin 1 (coupling to a conserved vector current), or spin 2 (coupling to the energy-momentum tensor). |
 | | The general gauge principle was in fact known much earlier (Klein 1938, who even had the idea to describe weak interactions with a non-abelian gauge theory in those early days, but it was forgotten for a while!). |
 | | Logically, gauge invariance is on the same footing as coordinate invariance and going from, say, a ground lab to an orbiting lab requires both a coordinate and a gauge transformation. |
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