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Model of massless relativistic particle with continuous spin and its twistorial description - Journal of High Energy Physics

  • ️Rusnak, A.
  • ️Thu Jul 05 2018

Abstract

We propose a new world-line Lagrangian model of the D= 4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints. After the first quantization of the world-line twistorial model, the wave function is defined by an unconstrained function on the two-dimensional complex affine plane. We find the twistor transform that determines the space-time field of the continuous spin particle through the corresponding twistor one, which plays the role of a prepotential. It is shown that this space-time field is an exact solution of the space-time constraints defining the irreducible massless representation of the Poincaré group with continuous spin.

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Authors and Affiliations

  1. Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634041, Russia

    I. L. Buchbinder

  2. National Research Tomsk State University, Tomsk, 634050, Russia

    I. L. Buchbinder

  3. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Campus Universitário, Juiz de Fora, 36036-900, MG, Brazil

    I. L. Buchbinder

  4. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie 6, 141980, Dubna, Moscow Region, Russia

    I. L. Buchbinder, S. Fedoruk & A. P. Isaev

  5. St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, 191023, St. Petersburg, Russia

    A. P. Isaev

  6. Department of Physics & Technology, Karazin Kharkov National University, Svobody Sq. 4, UA 61022, Kharkov, Ukraine

    A. Rusnak

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  1. I. L. Buchbinder

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  2. S. Fedoruk

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Correspondence to S. Fedoruk.

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Buchbinder, I.L., Fedoruk, S., Isaev, A.P. et al. Model of massless relativistic particle with continuous spin and its twistorial description. J. High Energ. Phys. 2018, 31 (2018). https://doi.org/10.1007/JHEP07(2018)031

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  • Received: 08 June 2018

  • Accepted: 29 June 2018

  • Published: 05 July 2018

  • DOI: https://doi.org/10.1007/JHEP07(2018)031

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