[GiNaC-devel] Improved dummy index renaming -> clifford exam fails
Vladimir Kisil
kisilv at maths.leeds.ac.uk
Mon Aug 14 15:32:53 CEST 2006
>>>>> "CD" == Chris Dams <Chris.Dams at mi.infn.it> writes:
CD> pairs. Also not that B~mu~mu + 1 has yielded an exception as
CD> long as I can remember when, for instance, asked what its free
CD> indices are.
Taking all that in account I am deleting the entire "anticommuting"
portion from the clifford.cpp. It looks like the performance is not
seriously affected by this.
CD> the metric with up-indices is the inverse of the metric with
CD> down-indices, we arive at the identity
CD> e~mu e~alpha e.mu = (2 - dim) * e~alpha,
CD> where dim is the number of row/columns of the metric.
I saw this rule in the diracgamma contraction but have doubts that it
will be simple as that for generic Clifford units with metric
diag_matrix(1,-1,0) for example.
Best,
--
Vladimir V. Kisil email: kisilv at maths.leeds.ac.uk
-- www: http://maths.leeds.ac.uk/~kisilv/
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