Hello authors!
I got a problem when taking trace with gamma5 in D-dimension when there are other four gamma matrices:
Tr[GAD[\[Mu], \[Nu], \[Lambda], \[Kappa], 5]] //FCE //StandardForm
the result reads:
DiracTrace[GAD[\[Mu]].GAD[\[Nu]].GAD[\[Lambda]].GAD[\[Kappa]].GA[5]]
It's still keep the trace! And i wanna take the convention that the result in D-dimension is:
Tr[1] I LC[\[Kappa], \[Lambda], \[Mu], \[Nu]]
where Tr[1]=4 in my convention. Indeed if I use GA rather than GAD:
Tr[GA[\[Mu], \[Nu], \[Lambda], \[Kappa], 5]] // FCE // StandardForm
I obtain the result I want:
4 I LC[\[Kappa], \[Lambda], \[Mu], \[Nu]]
But it's not so useful because in my definition the other gamma should live in D-dimension. So, how can I keep calculations in D-dimension while making sure the trace of GAD[5] with four other GAD[$\mu$] is the result I want?
SJTU
Best regards and many thanks!
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