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Question: Trouble with trace of products of Dirac matrices

Question:Trouble with trace of products of Dirac matrices

OldButGood 25 Maple 2019
trace physics
February 10 2020
3

When I try to find the trace of the product of Dirac Gamma matrices with variable indices, I get a different answer than in textbook. The product is Dgamma[~mu]Dgamma[~nu]Dgamma[~rho]Dgamma[~sigma]Dgamma[~5]. The answer I get using Maple is 0. The textbook answer is -4*i*epsilon[~mu,~nu,~rho,~sigma](Levi-Civita symbol). I verified this using Maple with using 1,2,3,4 and 2,1,3,4 for mu,nu,rho,sigma. I think I'm probably the one doing something wrong. Maple 2019 on Mac with Physics package default standard setup.
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