Complex scalar field in κ-Minkowski noncommutative spacetime

Abstract

We present a comparison between translation charges for several Lagrangians for the $\hat{I}º$-deformed complex scalar field using the canonical method. The Lagrangians are shown to be related by charge conjugation and twisted cyclicity, and these relationships are reflected in their conserved charges. The Lagrangian corresponding to the results obtained in arXiv:2011.09188 and arXiv:2201.10191 is identified, providing an explanation for the observed loss of charge conjugation symmetry under boosts.

11 pages, submitted to PoS(CORFU2024)315