Response to Tarrach's "Mode Dependent Field Renormalization and Trivialty"

TL;DR

This paper defends a specific renormalization approach in lambda Phi^4 theory against Tarrach's criticisms, clarifying misconceptions about infrared divergences and the validity of their results.

Contribution

The authors clarify their renormalization procedure and refute claims of infrared divergences, emphasizing the differences from Tarrach's approach and invalidity of perturbative results used by him.

Findings

No infrared divergence in the zero-momentum limit of the effective action.

The renormalization procedure used is distinct and valid.

Tarrach's perturbative results are not applicable in this context.

Abstract

We respond to Tarrach's criticisms (hep-th/9511034) of our work on lambda Phi^4 theory. Tarrach does not discuss the same renormalization procedure that we do. He also relies on results from perturbation theory that are not valid. There is no "infrared divergence" or unphysical behaviour associated with the zero-momentum limit of our effective action.