- #1
div curl F= 0
- 19
- 0
Dear All
I'd be very grateful if someone could help me out with finding the trace of a product of 4 SL(2,C) matrices, namely:
[tex] \mathrm{Tr} \left[ \sigma^{\alpha} \sigma^{\beta} \sigma^{\gamma} \sigma^{\delta} \right] [/tex]
where:
[tex] \sigma^{\alpha} = (\sigma^0, \sigma^1, \sigma^2, \sigma^3) [/tex]
[tex] \sigma^0 = I_2 [/tex]
I'm hoping this is a bunch of kronecker delta's but I can't seem to derive the correct expression needed for my work.
Regards
I'd be very grateful if someone could help me out with finding the trace of a product of 4 SL(2,C) matrices, namely:
[tex] \mathrm{Tr} \left[ \sigma^{\alpha} \sigma^{\beta} \sigma^{\gamma} \sigma^{\delta} \right] [/tex]
where:
[tex] \sigma^{\alpha} = (\sigma^0, \sigma^1, \sigma^2, \sigma^3) [/tex]
[tex] \sigma^0 = I_2 [/tex]
I'm hoping this is a bunch of kronecker delta's but I can't seem to derive the correct expression needed for my work.
Regards