Name: Francisco 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.