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Non-local hyperdifferential momentum operators in quantum field theory free from tachyons: the case of neutral mesons

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Abstract

An extended non-local field equations characterised by modified dispersion relations have been constructed based on non-local differential and hyperdifferential quantum operators. The dispersion relations obtained are found to be comparable to those obtained within the framework of unified theories and the covariant Kempf–Mangano algebra but free from tachyons. For the case of neutral meson, the upper limit of the characteristic length scale was found to be very close to the nuclear radius obtained from the study of \(\beta ^{+} \)-decay energy from finite-sized nuclei.

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Acknowledgements

The authors would like to thank Chiang Mai University for funding this research.

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Authors and Affiliations

  1. Center of Excellence in Quantum Technology, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand

    Waranont Anukool & Rami Ahmad El-Nabulsi

  2. Quantum-Atom Optics Laboratory and Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

    Waranont Anukool & Rami Ahmad El-Nabulsi

  3. Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

    Waranont Anukool

  4. Institute of Hydrobiology, Biology Centre of the Czech Academy of Sciences, České Budějovice, Czech Republic

    Rami Ahmad El-Nabulsi

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  1. Waranont Anukool
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Anukool, W., El-Nabulsi, R.A. Non-local hyperdifferential momentum operators in quantum field theory free from tachyons: the case of neutral mesons. Pramana - J Phys 98, 29 (2024). https://doi.org/10.1007/s12043-023-02703-0

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