- #1
John Greger
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- TL;DR Summary
- Can I construct real gamma matrices in 2+1 dimensions?
Hi!
Is it possible to construct gamma matrices satisfying the Clifford algebra ##\{\gamma^\mu, \gamma^\nu \} = \eta^{\mu \nu}## that are *real*, for ##\eta = diag(-1,1,1)##?
I know that I can construct them in principle from sigma matrices, but I don't know how to construct real gamma matrices..
And also, do the gamma matrices necessarily have to be 3-dimensional for d=2+1?
Is it possible to construct gamma matrices satisfying the Clifford algebra ##\{\gamma^\mu, \gamma^\nu \} = \eta^{\mu \nu}## that are *real*, for ##\eta = diag(-1,1,1)##?
I know that I can construct them in principle from sigma matrices, but I don't know how to construct real gamma matrices..
And also, do the gamma matrices necessarily have to be 3-dimensional for d=2+1?