Register to reply

Writing determinant as traces

by rbwang1225
Tags: determinant, traces, writing
Share this thread:
rbwang1225
#1
Dec2-12, 10:25 PM
P: 116
I am reading the paper http://arxiv.org/abs/hep-th/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.
Phys.Org News Partner Science news on Phys.org
New model helps explain how provisions promote or reduce wildlife disease
Stress can make hard-working mongooses less likely to help in the future
Grammatical habits in written English reveal linguistic features of non-native speakers' languages
scottbekerham
#2
Dec18-12, 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 Stern-Gerlach? Advanced Physics Homework 3
Traces of earliest stars found? Astronomy & Astrophysics 1