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High Energy, Nuclear, Particle Physics
How can you tell the spin of a particle by looking at the Lagrangian?
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[QUOTE="BiGyElLoWhAt, post: 6823297, member: 496972"] So ##A_{\mu}## is the EM vector potential, which obviously transforms as a (co)vector. The naive observer (myself) would argue that ##\partial_{\mu}\psi## should also transform as a (co)vector. I don't completely understand spinors yet, but from what I understand, when ##\gamma^{\mu}## acts on a vector (I would assume that means covectors as well) they become spinors. Does ##\gamma^{\mu}## not act on ##A_{\mu}## in this Lagrangian? If so, would that not make it a spinor? And thus this should transform as a spinor, no? At least the first bit. Gamma doesn't seem to act on the scalar quantity F^2. I'm very clearly missing something here. [/QUOTE]
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High Energy, Nuclear, Particle Physics
How can you tell the spin of a particle by looking at the Lagrangian?
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