1. Feb 15, 2013

### vijaychitgopka

While studying the Dirac Equation, we come across the gamma matrices. Can we consider these matrices as the components
of a 4-vector ?

Last edited: Feb 15, 2013
2. Feb 15, 2013

### CharlesFrancis

This is the defining condition for the Dirac matrices. It is not derived, because it is a definition. It is required to allow the factorisation of the Klein Gordon equation in the derivation of the Dirac equation.

3. Feb 15, 2013

### Bill_K

No, the Dirac matrices are the Clebsch-Gordan coefficients that couple the product of two Dirac spinors to form a 4-vector. The result ψγμψ is a 4-vector.