- #1
Loro
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Dirac matrices satisfy the relations:
\gamma^\mu\gamma^\nu+\gamma^\nu\gamma^\mu=2g^{\mu\nu}
I would like to understand why the dimension of this algebra in 3+1 dimensions is 4.
If we're looking for all possible sets {\gamma^0,\gamma^1,\gamma^2,\gamma^3} of 4x4 matrices that satisfy this, how do I show that when I find just one set, it already forms a complete basis?
\gamma^\mu\gamma^\nu+\gamma^\nu\gamma^\mu=2g^{\mu\nu}
I would like to understand why the dimension of this algebra in 3+1 dimensions is 4.
If we're looking for all possible sets {\gamma^0,\gamma^1,\gamma^2,\gamma^3} of 4x4 matrices that satisfy this, how do I show that when I find just one set, it already forms a complete basis?
