Is the analytic properties of Fermionic self energy well known?

[bsmile]

For arbitrary Fermionic self energy, \Sigma(i wn) with wn=(2n+1)pi T, its real part is always an even function of wn while its imaginary part is always an odd function of wn.

 

[Greg Bernhardt]

I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?

 

[bsmile]

Sorry, I think the issues about this analytic property of self energy is well known, or easily derived. I was curious why people would not enforce it in their calculation when say they design self energy ansatz for possible analytic continuation.

 

[bsmile]

Or, more specifically, \sigma(iw)=\sigma(-iw)*