Roberto Aloisio et al JHEP05(2004)028 doi:10.1088/1126-6708/2004/05/028
Particle and antiparticle sectors in DSR1 and κ-Minkowski space-time
Roberto Aloisio1, Angelo Galante1,2, Aurelio F. Grillo1, Fernando Méndez1, José M. Carmona3 and José L. Cortés3
Show affiliationsIn this paper we explore the problem of antiparticles in DSR1 and κ-Minkowski space-time following three different approaches inspired by the Lorentz invariant case: (a) the dispersion relation, (b) the Dirac equation in space-time and (c) the Dirac equation in momentum space. We find that it is possible to define a map Sdsr which gives the antiparticle sector from the negative frequency solutions of the wave equation. In κ-Poincaré, the corresponding map Skp is the antipodal mapping, which is different from Sdsr. The difference is related to the composition law, which is crucial to define the multiparticle sector of the theory. This discussion permits to show that the energy of the antiparticle in DSR is the positive root of the dispersion relation, which is consistent with phenomenological approaches.
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Issue 05 (May 2004)
Received 16 April 2004, accepted for publication 11 May 2004
Published 18 May 2004
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Particle and antiparticle sectors in DSR1 and κ-Minkowski space-time
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