Discussion Overview
The discussion revolves around the analytic properties of Fermionic self energy, particularly focusing on its behavior as a function of the Matsubara frequency, wn. Participants explore the implications of these properties in calculations and the design of self energy ansatz for analytic continuation.
Discussion Character
- Technical explanation, Conceptual clarification, Debate/contested
Main Points Raised
- One participant states that for arbitrary Fermionic self energy, \Sigma(i wn) with wn=(2n+1)pi T, the real part is always an even function of wn while the imaginary part is always an odd function of wn.
- Another participant expresses uncertainty about the lack of responses and inquires if there are any new findings related to the topic.
- A different participant suggests that the analytic properties of self energy are well known or easily derived, questioning why these properties are not enforced in calculations when designing self energy ansatz for analytic continuation.
- Additionally, a participant specifies that \sigma(iw)=\sigma(-iw)*, indicating a relationship between the self energy at positive and negative frequencies.
Areas of Agreement / Disagreement
The discussion contains multiple viewpoints, with some participants asserting that the properties are well established while others express curiosity about their application in calculations. No consensus is reached regarding the enforcement of these properties in practice.
Contextual Notes
Participants do not fully explore the implications of their claims, and there is a lack of detailed discussion on the assumptions underlying the analytic properties mentioned.