Pion Form Factor and Ambiguities in a Renormalizable Version of the Nambu-Jona-Lasinio Model

TL;DR

This paper investigates an ambiguity in calculating the pion electromagnetic form factor within a renormalizable Nambu-Jona-Lasinio model, clarifying how such ambiguities affect the form factor's transversal component and their implications in Quantum Field Theories.

Contribution

It demonstrates that the ambiguity in the form factor decouples from its transversal part, confirming previous findings and enhancing understanding of finite undetermined quantities in Quantum Field Theories.

Findings

Ambiguity decouples from the transversal form factor component

Results confirm previous analyses ignoring the ambiguity

Provides insight into finite undetermined quantities in QFT

Abstract

We analyze the presence of an ambiguity in the pion electromagnetic form factor within a renormalizable version of the Nambu-Jona-Lasinio model. We found out that the ambiguity present on the evaluation of the form factor decouples from its transversal part, confirming previous results obtained ignoring the ambiguity. This result helps us to understand the role played by finite but undetermined quantities in Quantum Field Theories.