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Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry

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arxiv 0706.3658 v2 pith:TZOV6I2U submitted 2007-06-25 hep-th

classification hep-th
keywords lorentzfieldtheoryassociatedchargesconservedkappaminkowski
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abstract

This paper is devoted to detailed investigations of free scalar field theory on $\kappa$-Minkowski space. After reviewing necessary mathematical tools we discuss in depth the Lagrangian and solutions of field equations. We analyze the spacetime symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetry. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: There is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Complex scalar field in \kappa-Minkowski noncommutative spacetime

    hep-th 2025-05 conditional novelty 6.0 of 10

    The canonical Noether charges for the κ-deformed complex scalar match the covariant phase space results, and the earlier C-breaking is traced to using the twisted-cyclic Lagrangian L_C1 instead of the manifestly symme...

  2. \kappa-deformed spin-1/2 field

    hep-th 2025-07 conditional novelty 5.0 of 10

    A kappa-deformed Dirac action is constructed whose Noether charges close the standard Poincaré algebra, while charge conjugation symmetry is broken and CPT can only be restored by deforming time reversal.

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