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On the classical dynamics of charges in non-commutative QED

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Abstract.

Following Wong’s approach to formulating the classical dynamics of charged particles in non-Abelian gauge theories, we derive the classical equations of motion of a charged particle in U(1) gauge theory on non-commutative space, the so-called non-commutative QED. In the present use of the procedure, it is observed that the definition of the mechanical momenta should be modified. The derived equations of motion manifest the previous statement about the dipole behavior of the charges in non-commutative space.

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Authors and Affiliations

  1. Institute for Advanced Studies in Basic Sciences (IASBS), 45195, Zanjan 159, Iran

    A. H. Fatollahi & H. Mohammadzadeh

Authors
  1. A. H. Fatollahi
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  2. H. Mohammadzadeh
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Correspondence to A. H. Fatollahi.

Additional information

Received: 29 October 2003, Revised: 21 April 2004, Published online: 15 June 2004

A.H. Fatollahi: Address after March 2004: Department of Physics, Alzahra University, Tehran, 19938-91167, Iran

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Fatollahi, A.H., Mohammadzadeh, H. On the classical dynamics of charges in non-commutative QED. Eur. Phys. J. C 36, 113–116 (2004). https://doi.org/10.1140/epjc/s2004-01871-8

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  • DOI: https://doi.org/10.1140/epjc/s2004-01871-8

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