(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that [tex]tr(\gamma^{\mu}\gamma^{\nu}\gamma^{5}) = 0[/tex]

2. Relevant equations

(anti-)commutation rules for the gammas, trace is cyclic

3. The attempt at a solution

I can do

[tex] tr(\gamma^{\mu}\gamma^{\nu}\gamma^{5}) = -tr(\gamma^{\mu}\gamma^{5}\gamma^{\nu}) = - tr(\gamma^{\nu}\gamma^{\mu}\gamma^{5}) [/tex]

and so on, but I don't see how that helps me. Any suggestions?

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# Homework Help: Gamma matrices

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