Skip to main content
10 events
when toggle format what by license comment
S Jun 23, 2020 at 17:02 history bounty ended CommunityBot
S Jun 23, 2020 at 17:02 history notice removed CommunityBot
Jun 22, 2020 at 11:54 comment added Vivek The paper that directly addresses your question head on on the analytic continuation part is: aip.scitation.org/doi/pdf/10.1063/1.1703704
Jun 22, 2020 at 11:47 comment added Vivek The case you're referring to is when $G^R(\omega)$ is analytically extended to the upper half plane. It is known from the imaginary time formalism that if you do the said replacement to the imaginary time GF in rational form , you'd get $G^R(\omega)$. The other option is to extend $G^A(\omega)$ to the lower half plane. Then you'd do the said replacement with the sign of the (imaginary) infinitesimal reversed on the imaginary time GFs obtained in the lower half plane to get $G^A$. You do exclude the real line - that's the branch cut, if you will, of the resolvent defined on the complex plane.
S Jun 15, 2020 at 15:47 history bounty started Aaron
S Jun 15, 2020 at 15:47 history notice added Aaron Draw attention
Apr 24, 2020 at 21:10 answer added spiridon_the_sun_rotator timeline score: 2
Apr 24, 2020 at 18:53 comment added Seth Whitsitt A relevant reference on this question: aip.scitation.org/doi/10.1063/1.1703704
Apr 24, 2020 at 18:00 history tweeted twitter.com/StackPhysics/status/1253745533677600770
Apr 24, 2020 at 16:08 history asked Aaron CC BY-SA 4.0