Register to reply 
Writing determinant as traces 
Share this thread: 
#1
Dec212, 10:25 PM

P: 116

I am reading the paper http://arxiv.org/abs/hepth/9701037.
In equation (2), the author write the determinat as traces, but I don't know how to do this. I know that ##det(e^A)=e^{tr(A)}##, where ##A## is a complex matrix, and ##det(A)=e^{tr(L)}##, where ##e^L=A## and ##L## is also a complex matrix. The problem becomes how to find the logrithm of the matrix ##g_{mn}+i##[itex]\tilde{F}_{mn}[/itex]. Above is what I can figure out now. Any help would be vary appreciated! Regards. 


#2
Dec1812, 04:26 AM

P: 49

You can always post any question you have on math stackexchange .You will get responses more quickly



Register to reply 
Related Discussions  
Program for Traces of Dirac matrices  Quantum Physics  4  
Propagation Delay of Traces on PCBs  Electrical Engineering  13  
Second quantization and partial traces  Quantum Physics  3  
How many traces observed in SternGerlach?  Advanced Physics Homework  3  
Traces of earliest stars found?  Astronomy & Astrophysics  1 