Dirac matrices satisfy the relations:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\gamma^\mu\gamma^\nu+\gamma^\nu\gamma^\mu=2g^{\mu\nu}[/itex]

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 {[itex]\gamma^0,\gamma^1,\gamma^2,\gamma^3[/itex]} of 4x4 matrices that satisfy this, how do I show that when I find just one set, it already forms a complete basis?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Dirac gammology - dimension of the algebra

**Physics Forums | Science Articles, Homework Help, Discussion**