[GiNaC-devel] Index dimensions.

Chris Dams Chris.Dams at mi.infn.it
Wed Jan 11 10:00:22 CET 2006


Dear Richy,

On Tue, 2006-01-10 at 22:01 +0100, Richard B. Kreckel wrote:

> >Generally a numeric dimension
> >will always be considered smaller than a non-numeric dimension. This
> >makes sense in the context of dimensional regularization.
> 
> Does it?  Why?

Because when defining integration in an arbitrary number of dimensions,
as it is done in the book "Renormalization" by Collins, vectors are
considered to have an infinite number of components as in p(p_1,
p_2, ...). Therefore projection on, say, 4 components reduces the number
of them.

Best,
Chris



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