(Extended) Proca-Nuevo under the two-dimensional loupe

TL;DR

This paper examines the two-dimensional behavior of Proca-Nuevo and Extended Proca-Nuevo theories, revealing they are inherently ghostful in this setting and highlighting the necessity to reassess their classical consistency in higher dimensions.

Contribution

It provides the first explicit analysis of Proca-Nuevo and Extended Proca-Nuevo in two dimensions, demonstrating their ghostful nature and questioning their viability.

Findings

Both theories are ghostful in two dimensions.

Classical consistency in higher dimensions remains uncertain.

Reassessment needed before considering these theories ghostfree.

Abstract

Recently, two new families of non-linear massive electrodynamics have been proposed: Proca-Nuevo and Extended Proca-Nuevo. We explicitly show that both families are irremediably ghostful in two dimensions. Our calculations indicate the need to revisit the classical consistency of (Extended) Proca-Nuevo in higher dimensions before these settings can be regarded as ghostfree.