Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures

The authors have replied satisfactorily to my questions and comments. The provided references on other real frequency fRG calculations are enough. Others can be found in the review by Dupuis et al. which they also cite.

I recommend publication in the present form.

The authors have corrected most part of the points which raised the critique of the Referees. I would suggest only technical corrections as mentioned below.

I suggest to replot Fig. 4 where the plot takes only 1/4 of the space of the figure. E.g., the legend can be made two column and/or put to the caption to give more space to the plot.

In Fig. 7 the vertical axis can be restricted by the interval 0.85-0.95 (or similar) to give more space for the plot.

The horizontal axis in Fig. 8 can be restricted by 2.25 giving also more space for the plot.

This article presents a method that

1. extends the standard one-loop functional renormalization group approach by including quasiparticle-based feedback on the flow, and

2. allows the direct determination of the real frequency dependence of the single-particle self-energy.

3. This work is one of the few examples which presents real frequency behavior obtained with fRG and thus will be of interest to the community.

The authors' response to my previous comments is satisfactory. Publication can now be recommended.