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arXiv · 1611.03324

Effect of Noncommutativity of Space-time on Zitterbewegung

Ravikant Verma·Aritra N Bose
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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 upto first order in deformation parameter $a$, we find the modification in the Zitterbewegung valid upto 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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Ravikant Verma, Aritra N Bose. 2016-09-30. Effect of Noncommutativity of Space-time on Zitterbewegung. https://arxiv.org/abs/1611.03324

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