Continuous spin particle

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Continuous spin particle (or CSP in short), sometimes called an infinite spin particle, is known as a massless particle never observed before in nature. This particle is one of Poincaré group's massless representations which along with ordinary massless particles was classified by Eugene Wigner in 1939.[1] Historically, a compatible theory that could describe this elementary particle was unknown, however, 75 years after Wigner's classification, the first local action principle for bosonic continuous spin particles was introduced in 2014,[2] and the first local action principle for fermionic continuous spin particles was suggested in 2015.[3] It has been illustrated that this particle can interact with matter in flat space-time.[4][5] It is expected to observe this particle (if any) in high energies at CERN or a next-generation particle accelerator, however, so far no energy scale has been proposed at which this particle can be observed. In this regard, it would be also interesting to do research and find a trace of CSP in the early universe. Supersymmetric continuous spin gauge theory has been studied in three[6] and four[7][8] spacetime dimensions.

In condensed matter systems, CSPs can be understood as massless generalizations of the anyon,[9] so it may be easier to observe this particle in these systems than observation in high-energy accelerators, however, no effort has been made so far.

References[]

  1. ^ Wigner, E. (1939). "On Unitary Representations of the Inhomogeneous Lorentz Group". Annals of Mathematics. 40 (1): 149–204. doi:10.2307/1968551. ISSN 0003-486X. JSTOR 1968551.
  2. ^ Schuster, Philip; Toro, Natalia (23 January 2015). "Continuous-spin particle field theory with helicity correspondence". Physical Review D. 91 (2): 025023. doi:10.1103/PhysRevD.91.025023.
  3. ^ Bekaert, Xavier; Najafizadeh, Mojtaba; Setare, M.R. (10 September 2016). "A gauge field theory of fermionic continuous-spin particles". Physics Letters B. 760: 320–323. doi:10.1016/j.physletb.2016.07.005. ISSN 0370-2693. S2CID 119120293.
  4. ^ Metsaev, R. R. (29 November 2017). "Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields". Journal of High Energy Physics. 2017 (11): 197. doi:10.1007/JHEP11(2017)197. ISSN 1029-8479. S2CID 119208687.
  5. ^ Bekaert, Xavier; Mourad, Jihad; Najafizadeh, Mojtaba (20 November 2017). "Continuous-spin field propagator and interaction with matter". Journal of High Energy Physics. 2017 (11): 113. doi:10.1007/JHEP11(2017)113. ISSN 1029-8479. S2CID 119482451.
  6. ^ Zinoviev, Yurii M. (2017). "Infinite Spin Fields in d = 3 and Beyond". Universe. 3 (3): 63. doi:10.3390/universe3030063. S2CID 2442288.
  7. ^ Buchbinder, I.L.; Khabarov, M.V.; Snegirev, T.V.; Zinoviev, Yu.M. (1 September 2019). "Lagrangian formulation for the infinite spin N = 1 supermultiplets in d = 4". Nuclear Physics B. 946: 114717. arXiv:1904.05580. doi:10.1016/j.nuclphysb.2019.114717. ISSN 0550-3213. S2CID 118982636.
  8. ^ Najafizadeh, Mojtaba (4 March 2020). "Supersymmetric continuous spin gauge theory". Journal of High Energy Physics. 2020 (3): 27. arXiv:1912.12310. doi:10.1007/JHEP03(2020)027. ISSN 1029-8479. S2CID 209515928.
  9. ^ Schuster, Philip; Toro, Natalia (April 2015). "A new class of particle in 2 + 1 dimensions". Physics Letters B. 743: 224–227. doi:10.1016/j.physletb.2015.02.050.
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