Name: Sam Date: 12/17/14-11:04:26 PM Z
Hi,
I’m very confused, so any help is appreciated.
When I evaluate
Tr[DiracMatrix[a] DiracMatrix[b]
DiracMatrix[c] DiracMatrix[d]]
I get, as expected
4 (g^(a d) g^(b c)-g^(a c) g^(b d)+g^(a b) g^(c d))
Notice that the minus sign is on the term proportional to g^(a c), which
has to be true because the other terms are even permutations of each
other and thus must be symmetric.
However, upon evaluating
Tr[DiracMatrix[a] DiracMatrix[\[Beta]]
DiracMatrix[
c] DiracMatrix[\[Delta]]]
I get the incorrect answer
4 (g^(a \[Delta]) g^(c \[Beta])-g^(a \[Beta])
g^(c \[Delta])+g^(a c) g^(\[Beta]
\[Delta]))
Notice that the minus sign is on the term proportional to g^(a
\[Beta]) now, which is not how it should be.
Is this a problem with how Feyncalc understands Greek letters? If so, this is a big problem, since that is my default when I work by hand and that is naturally how I input my gamma matrices, but when I turn slashes into gamma matrices I use the Latin alphabet.
Any help is appreciated,
Thanks,
Sam