Ambiguities of the Seiberg-Witten map in the presence of matter field

TL;DR

This paper investigates the ambiguities in the Seiberg-Witten map when gauge fields are coupled with matter fields, revealing that some ambiguities are negligible while others are difficult to eliminate due to the presence of matter.

Contribution

It clarifies which ambiguities in the Seiberg-Witten map are absorbable and highlights the impact of matter fields on these ambiguities.

Findings

Some ambiguities can be absorbed by gauge transformations or redefinitions.

Matter fields make certain ambiguities difficult to eliminate.

The study distinguishes between negligible and persistent ambiguities.

Abstract

The ambiguities of the Seiberg-Witten map for gauge field coupled with fermionic matter are discussed. We find that only part of the ambiguities can be absorbed by gauge transformation and/or field redefinition and thus are negligible. The existence of matter field makes some other part of the ambiguities difficult to be absorbed by gauge transformation or field redefinition.