Comment on "Dynamical mean field solution of the Bose-Hubbard model"

TL;DR

This paper clarifies that a recent proposed modification to Bosonic Dynamical Mean-Field Theory is unnecessary because it cancels out, confirming the original self-consistency equations.

Contribution

The authors demonstrate that the proposed modification by Anders et al. is redundant, showing their self-consistency equations are identical to the original ones.

Findings

The proposed modification cancels itself out.

Original and modified equations are identical.

No change to the original B-DMFT equations.

Abstract

In their preprint Anders et al. [arXiv:1004.0510] propose a crucial modification of the Bosonic Dynamical Mean-Field Theory (B-DMFT) derived by us [Phys. Rev. B 77, 235106 (2008)]. Here we show that the modification consists of two steps which, in fact, cancel each other. Consequently their self-consistency equations are identical to ours.