Comment on "Problems in the derivations of the renormalization group equation for the low momentum nucleon interactions"

TL;DR

This paper clarifies misconceptions about the derivation of the renormalization group equation for low-momentum nucleon interactions, affirming its correctness and addressing misleading claims.

Contribution

It refutes criticisms claiming errors in the derivation of the low-momentum interaction RG equation and clarifies related misconceptions.

Findings

The RG equation for V_lowk remains valid despite criticisms

Criticisms do not impact existing literature results

Addresses and corrects misleading statements about low-momentum interactions

Abstract

The criticisms in manuscript arXiv:0803.4371 do not change the renormalization group equation for the "$\vlowk$" interaction nor do they affect any results in the literature. Several other potentially misleading statements about low-momentum interactions are also addressed.