Name: Tomas Brauner (email_not_shown)
Date: 02/16/12-04:48:46 PM Z


Hello,

is there a way to use in Mathematica/Feyncalc (as a simplification rule) the Schouten identity? It can be written in several different forms, for example (schematically)

MT[f,a] Eps[b,c,d,e] + MT[f,b] Eps[c,d,e,a] + MT[f,c] Eps[d,e,a,b] + MT[f,d] Eps[e,a,b,c] +MT[f,e] Eps[a,b,c,d] = 0

which holds in four dimensions simply because the left hand side is fully antisymmetric in the five indices a,b,c,d,e. An analogous identity holds in other dimensions as well. In general the indices can be dotted to other vectors or tensors, so one needs to Uncontract all indices as a first step. This identity seems to be included in FORM, but I have not found it in Mathematica/Feyncalc. I would greatly appreciate any hint at how it could be implemented!

Thanks!
Tomas



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