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Using color.h to simplify products of T-matrices with open fundamental indices #755
Description
Hi,
I have to admit that I'm not super familiar with the internals of color.h but I'm wondering why the following
does not get simplified
#include color.h
I lsclCFi=NR, <lsclCFi1=NR> , ... ,<lsclCFi10=NR>;
I lsclCFj=NR, <lsclCFj1=NR>, ... , <lsclCFj10=NR>;
I lsclCAi=NA, <lsclCAi1=NA>, ... , <lsclCAi10=NA>;
L ex1 = T(lsclCFj3,lsclCFj1,lsclCAi4,lsclCAi4);
L ex2 = T(lsclCFj3,lsclCFj1,lsclCAi4,lsclCAi6,lsclCAi6,
lsclCAi4);
.sort
#call docolor
.sort
#call simpli
.sort
print;
.end
I mean, if I replace lsclCFj3 with lsclCFj1 converting the chains to traces, then color.h obviously can simplify both expressions without any issues.
However, even if the fundamental indices are open, all adjoint indices are still contracted and to my understanding one can simplify these expressions without resorting to Fierz identities by using
and the commutation relation. Am I missing something here?
Cheers,
Vlad
Activity
github-actions commentedon Jun 26, 2026
This issue has been marked as stale after 90 days of inactivity. It will be closed automatically in 30 days unless there is any further activity. If this issue is still relevant, please leave a comment to keep it open.
vsht commentedon Jun 27, 2026
Actually, I would be still interested to know the answer :)
github-actions commentedon Oct 26, 2026
This issue has been marked as stale after 90 days of inactivity. It will be closed automatically in 30 days unless there is any further activity. If this issue is still relevant, please leave a comment to keep it open.