Massless and Massive Gauge-Invariant Fields in the Theory of Relativistic Wave Equations

TL;DR

This paper explores massless and massive gauge-invariant spin 0 and spin 1 fields within a generalized relativistic wave equation framework, aiming to enhance applications in modern field theories.

Contribution

It introduces a generalized relativistic wave equation approach for gauge-invariant fields, extending Lorentz group representations for better modeling of particles.

Findings

Development of a unified framework for massless and massive gauge-invariant fields.

Potential applications in modern field models.

Extension of Lorentz group representations in wave equations.

Abstract

In this work consideration is given to massless and massive gauge-invariant spin 0 and spin 1 fields (particles) within the scope of a theory of the generalized relativistic wave equations with an extended set of the Lorentz group representations. The results obtained may be useful as regards the application of a relativistic wave-equation theory in modern field models.