Effect of noncommutativity of space-time on Zitterbewegung

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Abstract.

In this paper, we present the results of our investigation on the modification of Zitterbewegung due to the noncommutativity of the space-time. First, we study the effect of \(\kappa\)-deformation of the space-time on Zitterbewegung. For this, we start with the \(\kappa\)-deformed Dirac theory and using \(\kappa\)-deformed Dirac equation valid up to first order in the deformation parameter a, we find the modification in the Zitterbewegung valid up to first order in the deformation parameter a. In the limit \(a\rightarrow 0\), we get back the commutative result. Secondly, we find the modification in the Zitterbewegung due to the Magueijo-Smolin (MS) approach of doubly special relativity (DSR) and in the limit \(E_{p} \rightarrow \infty\), we get back the result in the commutative space-time.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.S. N. Bose National Centre for Basic SciencesJD Block, Sector III, Salt LakeKolkataIndia

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