Weinberg's Approach and Antisymmetric Tensor Fields

TL;DR

This paper extends the mapping between Weinberg-Tucker-Hammer formalism and antisymmetric tensor fields, incorporating solutions of different parities and generalizing several formalisms like Proca, Duffin-Kemmer, and Bargmann-Wigner.

Contribution

It introduces a comprehensive approach to include parity solutions in the formalism, broadening the applicability of existing mappings and generalizations.

Findings

Generalized Proca, Duffin-Kemmer, and Bargmann-Wigner formalisms.

Included solutions of different parities in the formalism.

Enhanced the mapping between Weinberg-Tucker-Hammer and tensor fields.

Abstract

We extend the previous series of articles [HPA] devoted to finding mappings between the Weinberg-Tucker-Hammer formalism and antisymmetric tensor fields. Now we take into account solutions of different parities of the Weinberg-like equations. Thus, the Proca, Duffin-Kemmer and Bargmann-Wigner formalisms are generalized.