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Dirac Lagrangian

| nosplit | ↑ parent "Dirac equation" | words: 136 | descendant words: 136 | descendants: 3
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where:
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Remember that is a 4-vetor, gamma matrices are 4x4 matrices, so the whole thing comes down to a dot product of two 4-vectors, with a modified by matrix multiplication/derivatives, and the result is a scalar, as expected for a Lagrangian.
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Like any other Lagrangian, you can then recover the Dirac equation, which is the corresponding equations of motion, by applying the Euler-Lagrange equation to the Lagrangian.
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Ancestors

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