The Weinberg Propagators

TL;DR

This paper constructs an analog of the Feynman-Dyson propagator within Weinberg's j=1 theory, based on a novel approach to the Weinberg field involving four functions related by parity and dual transformations.

Contribution

It introduces a new propagator construction for Weinberg's j=1 theory, expanding the theoretical framework for understanding higher-spin fields.

Findings

Analog of the propagator is formulated for j=1 Weinberg theory

The construction utilizes four field functions related by parity and dual transformations

Provides a basis for further theoretical developments in higher-spin field theories

Abstract

An analog of the $j=1/2$ Feynman-Dyson propagator is presented in the framework of the $j=1$ Weinberg's theory. The basis for this construction is the concept of the Weinberg field as a system of four field functions differing by parity and by dual transformations.