Reply to the Comment by Galanakis \textit{et al} on the paper \textquotedblleft Exact bosonization for an interacting Fermi gas in arbitrary dimensions"

TL;DR

This paper addresses and dismisses criticisms of a bosonization method for interacting Fermi gases, reaffirming the validity of the original approach across various dimensions.

Contribution

It clarifies that the criticisms are irrelevant, reinforcing the robustness of the exact bosonization method for interacting Fermi gases.

Findings

Criticism by Galanakis et al is shown to be irrelevant

Reaffirms the validity of the bosonization approach

Supports the applicability across arbitrary dimensions

Abstract

It is shown that the criticism presented in the Comment by Galanakis et al \cite{1} on the paper by Efetov et al \cite{2} is irrelevant to the bosonization approach.