I hope you go on with your program, with the simplification of products of gamma matrices in dimensional regularization and other standard tensorial tools for perturbative quantum field theory.
On Saturday, September 7, 2013 1:54:35 PM UTC+2, brombo wrote: > > On 09/07/2013 07:20 AM, F. B. wrote: > > > Look at geometric algebra module. if metric='[1,-1,-1,-1]' then the >> basis vectors obey the gamma matrix commutation relations and all >> expressions are in terms of the basis blades for the Minkowski space. >> See attached. >> > > I do not know very much of the geometric algebra module, is it already > able to handle simplification rules for gamma matrices with GA? I already > heard of the GA algebra approach to the space time algebra, but some time > ago I was told that the GA module is being rewritten, so I skipped it. > > By the way, the tensor module offers the possibility to implement an > approach much closer to standard textbooks, I am currently drafting a * > GammaMatrix* object, we already have a highly-optimized algorithm to > reduce expressions of gamma matrices with internal Lorentz contractions. > > Do you think it is worth to stop to examine the GA module instead of > going on? > > Just consider that I have a clear plan in mind to go on without GA. If > we were to include GA, I should stop an devise another way. > > Let me know... > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected] <javascript:>. > To post to this group, send email to [email protected] <javascript:>. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. > > Since you are dealing specifically with the space time algebra with an > orthogonal basis you probably want something optimized to that situation > rather than a generalized Clifford algebra. I would suggest that you look > at the documentation for the GA module since that goes into detail on how > things are implemented and perhaps you might want to borrow some code as > well. > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
