Wald type analysis for spin-one fields in three dimensions

TL;DR

This paper revisits Wald's analysis for spin-one fields in three dimensions, highlighting how the three-dimensional antisymmetric tensor alters the original conclusions and methodology.

Contribution

It introduces a modified Wald analysis accounting for the three-dimensional antisymmetric tensor, providing new insights into spin-one field behavior in three dimensions.

Findings

The antisymmetric tensor significantly changes Wald's analysis.

New results specific to three-dimensional spin-one fields.

Clarification of the role of tensor properties in field analysis.

Abstract

We revisit Walds analysis in the context of spin-one fields in three dimensions. A key technical difference from Walds is the role played by the three dimensional completely antisymmetric tensor. We show how this changes the analysis as well as the result.