diff --git a/Response_Letter/Response_Letter.tex b/Response_Letter/Response_Letter.tex index 054892d..60c41ed 100644 --- a/Response_Letter/Response_Letter.tex +++ b/Response_Letter/Response_Letter.tex @@ -90,11 +90,17 @@ We look forward to hearing from you. \item {In Section III the authors mention that the infinitesimal eta is put to 0. This is physically incorrect. - eta is a positive infinitesimal and cannot be just put to zero. Numerically it has been shown that indeed the self energy becomes discontinuous by doing so. + eta is a positive infinitesimal and cannot be just put to zero. + Numerically it has been shown that indeed the self energy becomes discontinuous by doing so. This is the main reason for the low quality rating. } \\ - \alert{Titou: I don't agree with this.} - + \alert{Physically, $\eta$ ensures the correct time ordering when passing from $(t-t')$ to $\omega$ by a Fourier transform. + It is an infinitesimal which should be put to zero at the very end of the calculation. + In practice, this is not possible as one would have to solve everything analytically. + Therefore, one has to make a choice: set it equal to zero from the start or set it equal to a small value. + So physically, one could say that both are equally correct (or equally incorrect). + As a numerical check, we have performed additional calculations with very small $\eta$ values and the corresponding quasiparticle energies are nearly identical. + Moreover, we do not have any numerical issues in our calculations.} \item {Figures 1, and the corresponding figures in the supplementary are plotted on a linear scale of X. Personally I think it is much more instructive to plot against X$^{-3}$, which will much clearer visualize convergence. }