Comment on ``New ansatz for metric operator calculation in pseudo-Hermitian field theory''

TL;DR

This paper critiques a recent perturbative calculation of the metric operator in pseudo-Hermitian field theory, highlighting that the claimed improvements are invalid due to sign errors in the original work.

Contribution

It provides a critical analysis of a recent calculation, clarifying errors and emphasizing the importance of correctness in perturbative methods for pseudo-Hermitian theories.

Findings

Identification of sign errors in Shalaby's calculation

Clarification that the claimed local improvement is invalid

Emphasis on the need for accurate perturbative methods

Abstract

In a recent Brief Report by Shalaby a new first-order perturbative calculation of the metric operator for an $i\phi^3$ scalar field theory is given. It is claimed that the result is an improvement on a previous calculation by Bender, Brody and Jones because it is local. Unfortunately Shalaby's calculation is not valid because of sign errors.