Name: Francisco (email_not_shown)
Date: 04/15/09-04:01:30 AM Z


Consider:
ave1 = SumOver[Index[Gluon, 3], 8] SUNF[SUNIndex[1], SUNIndex[2], SUNIndex[Index[Gluon, 3]]] UGenerator[SUNIndex[Index[Gluon, 3]],
      SUNN -> 3][UIndex[Index[Colour, 1]], UIndex[Index[Colour, 2]]]

ave2=ave1 // DoSumOver

ave2 // SUNReduce

The results assume f_(1,2,3)=f_(1,2,4)=f_(1,2,5)=f_(1,2,6)=f_(1,2,7)=f_(1,2,8)=1
Which is incorrect.

Infact if we do SUNF[SUNIndex[1], SUNIndex[a], SUNIndex[b]]// SUNReduce, for a>b!=1, we get 1.
As we can see if execute the instructions:
Table[SUNF[SUNIndex[1], SUNIndex[a], SUNIndex[b]] // SUNReduce, {a, 1,8}, {b, 1, 8}].

Am i doing something wrong?

Thaks in advance.



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