- #1
praharmitra
- 311
- 1
I am currently reading Dirac Equation from Peskin-Schroeder. In a particular para it says,
"Now let us find Dirac Matrices [tex]\gamma^\mu[/tex] for four-dimensional Minkowski Space. It turns out that these matrices must be at least 4X4."
What is the proof of the above statement? I think (not sure) that it was once mentioned in class, that the above can be true only for a set of even dimensional matrices. Is that true? How?
And if yes, how do we know that the matrices can't be 2X2? Can someone show me a proof or guide me in the right direction.
Thanks.
"Now let us find Dirac Matrices [tex]\gamma^\mu[/tex] for four-dimensional Minkowski Space. It turns out that these matrices must be at least 4X4."
What is the proof of the above statement? I think (not sure) that it was once mentioned in class, that the above can be true only for a set of even dimensional matrices. Is that true? How?
And if yes, how do we know that the matrices can't be 2X2? Can someone show me a proof or guide me in the right direction.
Thanks.