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Models with virtual force carriers in classical particle physics

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Abstract

A mathematically rigorous model of the interaction of two classical point particles without fields or forces is described. Under certain scaling, it is proved that the trajectories converge to classical ones obtained in the case of the Coulomb or gravitational interaction of two particles. The model resembles the intuitive idea of virtual particles frequently used in quantum particle physics.

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References

  1. G.’t Hooft, Int. J. Modern Phys. A 16, 2895–2908 (2001).

    Article  Google Scholar 

  2. V. I. Arnol’d, Huygens and Barrow, Newton and Hooke (Nauka, Moscow, 1989; Birkhäuser, Basel, 1990).

    Book  MATH  Google Scholar 

  3. R. W. Hall and K. Josic, SIAM Rev. 42 (1), 115–124 (2000).

    Article  MathSciNet  Google Scholar 

  4. J. L. Schiff, Cellular Automata: A Discrete View of the World (Wiley-Interscience, New Jersey, 2008).

    MATH  Google Scholar 

  5. A. Ilachinski, Cellular Automata: A Discrete Universe (World Scientific, Singapore, 2001).

    Book  MATH  Google Scholar 

  6. F. W. Kantor, Information Mechanics (Wiley, New York, 1977).

    Google Scholar 

  7. A. Rajeev and D. Dill, Theor. Comput. Sci. 126, 183–235 (1994).

    Article  Google Scholar 

  8. A. Beardon, Iteration of Rational Functions: Complex Analytic Dynamical Systems (Springer-Verlag, Berlin, 1990).

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    V. A. Malyshev

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  1. V. A. Malyshev
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Correspondence to V. A. Malyshev.

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Original Russian Text © V.A. Malyshev, 2016, published in Doklady Akademii Nauk, 2016, Vol. 94, No. 3, pp. 291–294.

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Malyshev, V.A. Models with virtual force carriers in classical particle physics. Dokl. Math. 94, 472–475 (2016). https://doi.org/10.1134/S1064562416040141

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  • DOI: https://doi.org/10.1134/S1064562416040141

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