Duality between coordinates and Dirac field
M. C. B. Abdalla, A. L. Gadelha, I. V. Vancea (IFT-Unesp)
TL;DR
This paper explores the duality between Minkowski space coordinates and the Dirac field, revealing two different ways to define this duality, both leading to second-order equations for prepotentials.
Contribution
It identifies and compares two distinct formulations of the coordinate-Dirac field duality, expanding understanding of their mathematical structure.
Findings
Two different duality definitions exist.
Both formulations lead to second-order equations.
The duality enhances understanding of Dirac fields in Minkowski space.
Abstract
The duality between the Cartesian coordinates on the Minkowski space-time and the Dirac field is investigated. Two distinct possibilities to define this duality are shown to exist. In both cases, the equations satisfied by prepotentials are of second order.
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