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Invariance of a physical system (its action) under a continuous group of local transformations underlain by a global symmetry whose group parameters fixed in space-time have now been extended to vary in space-time instead. Use for buildup of the invariance, fixing the gauge, and accounting for the corresponding changes in the functional measure of the system.

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How would one show that a nonabelian field strength tensor transforms in a certain way under...

How would one show that the nonabelian ${F_{\mu\nu}}$ field strength tensor transforms as $${F_{\mu\nu}\to F_{\mu\nu}^{\prime}=UF_{\mu\nu}U^{-1}}$$ under a local gauge transformation? Rather than goin …
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How to verify gauge invariance of an amplitude

I have calculated a tree level amplitude for Compton scattering (${e\left(p\right)+\gamma\left(k\right)\to e\left(p\prime\right)+\gamma\left(k\prime\right)}$): $${ i\mathcal{M}=M_{\mu\nu}\epsilon^{*\ …
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