Dirac-Kahler Theory and Massless Fields

TL;DR

This paper explores three massless limits of the Dirac-Kahler theory and demonstrates how the massive Dirac-Kahler equation can be derived from gauge-invariant combinations of these massless fields.

Contribution

It introduces a novel representation of the massive Dirac-Kahler equation as a mixture of massless fields via topological interactions.

Findings

Massless limits of Dirac-Kahler theory are identified.

Massive Dirac-Kahler equation can be obtained from gauge-invariant mixtures.

Topological interactions link massless and massive fields.

Abstract

Three massless limits of the Dirac-Kahler theory are considered. It is shown that the Dirac-Kahler equation for massive particles can be represented as a result of the gauge-invariant mixture (topological interaction) of the above massless fields.