Translational and Rotational Properties of Antisymmetric Tensor Fields

TL;DR

This paper re-examines the properties of antisymmetric tensor fields and 4-vector potentials, focusing on their translational and rotational characteristics, especially in the massless limit, building on foundational theoretical work.

Contribution

It provides a detailed analysis of antisymmetric tensor fields and 4-vector potentials, including their behavior in the massless limit, and clarifies theoretical aspects related to their observability and helicity states.

Findings

Analysis of the longitudinal nature of antisymmetric tensor fields after quantization

Clarification of the m->0 limit in Proca theory

Discussion on the observability of helicity=0 electromagnetic fields

Abstract

Recently, several discussions on the possible observability of 4-vector potential have been published in literature. Furthermore, several authors recently claimed existence of the helicity=0 electromagnetic field. We re-examine the theory of antisymmetric tensor field and 4-vector potentials. We study the massless limits too. In fact, a theoretical motivation for this venture is old papers of Ogievetskii and Polubarinov, Hayashi, and Kalb and Ramond, which are widely accepted by physics community. This paper is based on two poster presentations "About the Longitudinal Nature of the Antisymmetric Tensor Field after Quantization" and "Normalization and m->0 Limit of the Proca Theory" at the Workshop "Lorentz Group, CPT and Neutrinos" (Zacatecas, Mexico, June 23-26, 1999).