Complex scalar field in \kappa-Minkowski noncommutative spacetime

TL;DR

This paper compares translation charges for different Lagrangians of the eformed complex scalar field in ppa-Minkowski spacetime, revealing how symmetries and relationships among Lagrangians affect conserved charges and charge conjugation symmetry.

Contribution

It identifies relationships between Lagrangians via charge conjugation and twisted cyclicity, explaining symmetry loss under boosts in ppa-deformed scalar field theories.

Findings

Lagrangians are related by charge conjugation and twisted cyclicity.

Conserved charges reflect these relationships.

Loss of charge conjugation symmetry under boosts is explained.

Abstract

We present a comparison between translation charges for several Lagrangians for the $\kappa$-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.