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

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

2007-06-25

arxiv.org/abs/0706.3658v2

Int.J.Mod.Phys.A23:2687-2718,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 1 figure, formulas in sect. III corrected

Scientific paper

10.1142/S0217751X08040421

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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