\kappa-deformed spin-1/2 field
Abstract
In this paper, we investigate the Poincar\'e and discrete symmetries of a -deformed spin- field, extending recent results obtained for scalar fields. We construct an action that is Poincar\'e invariant and analyze its consequences within the deformed framework. Our results confirm the findings of our recent analysis of the -deformed scalar field, where we established that there is no action invariant under both Poincar\'e symmetry and charge conjugation in the -deformed case, while -symmetry can be restored through a natural deformation of time reversal. Furthermore, we present an explicit calculation of the Noether charges associated with Poincar\'e symmetry and show that their algebra closes, demonstrating the internal consistency of the theory.
Cite
@article{arxiv.2507.18336,
title = {\kappa-deformed spin-1/2 field},
author = {Tadeusz Adach and Andrea Bevilacqua and Jerzy Kowalski-Glikman and Giacomo Rosati and Wojciech Wiślicki},
journal= {arXiv preprint arXiv:2507.18336},
year = {2026}
}
Comments
This V2 represents a major improvement with respect to the previous version: a whole section about the description of the deformed discrete symmetries has been added, and phenomenological considerations have been included in the conclusions