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Pair creation in noncommutative space-time

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Abstract.

By taking two interactions, the Volkov plane wave and a constant electromagnetic field, the probability related to the process of pair creation from the vacuum is exactly and analytically determined via the Schwinger method in noncommutative space-time. For the plane wave, it is shown that the probability is simply null and for the electromagnetic wave it is found that the expression of the probability has a similar form to that obtained by Schwinger in a commutative space-time. For a certain critical value of H, the probability is simply equal to 1.

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Authors and Affiliations

  1. Laboratoire de physique mathématique et de physique subatomique (LPMPS), Université Frères Mentouri, Constantine, Algeria

    B. Hamil & L. Chetouani

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  1. B. Hamil
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  2. L. Chetouani
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Correspondence to L. Chetouani.

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Hamil, B., Chetouani, L. Pair creation in noncommutative space-time. Eur. Phys. J. Plus 131, 311 (2016). https://doi.org/10.1140/epjp/i2016-16311-4

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  • DOI: https://doi.org/10.1140/epjp/i2016-16311-4

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