2009/08/13 by Michele Arzano, M. Arzano, J. Kowalski-Glikman +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Hyperboloid model #Invariant (physics) #Lorentz covariance #Lorentz transformation #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #hep-th
paper · pdf · doi:10.1088/0264-9381/27/2/025012
published as Class.Quant.Grav.27:025012,2010 · 10 pages, no figures
arxiv created 2009/08/13 · openalex publication_date 2010/01/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is by now well established that the momentum space associated with the non-commutative κ-Minkowski space is a submanifold of de Sitter space. It has been noted recently that field theories built on such momentum space suffer from a subtle form of Lorentz symmetry breaking. Namely, for any negative energy mode the allowed range of rapidities is bounded above. In this paper we construct a complex scalar field theory with a modified action of Lorentz generators which avoids this problem. For such theory we derive conserved charges corresponding to translational and U (1) symmetries. We also discuss in some detail the inner product and Hilbert space structure of the κ-deformed complex quantum field.