Continuous spin particle

Short description: Theoretical massless elementary particle

In theoretical physics, a continuous spin particle (CSP), sometimes called an infinite spin particle, is 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 spacetime.[4][5] 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]

## 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. Bibcode: 1939AnMat..40..149W. https://doi.org/10.2307/1968551.
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. Bibcode: 2015PhRvD..91b5023S. https://doi.org/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" (in en). Physics Letters B 760: 320–323. doi:10.1016/j.physletb.2016.07.005. ISSN 0370-2693. Bibcode: 2016PhLB..760..320B.
4. ↑ Metsaev, R. R. (29 November 2017). "Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields" (in en). Journal of High Energy Physics 2017 (11): 197. doi:10.1007/JHEP11(2017)197. ISSN 1029-8479. Bibcode: 2017JHEP...11..197M.
5. ↑ Bekaert, Xavier; Mourad, Jihad; Najafizadeh, Mojtaba (20 November 2017). "Continuous-spin field propagator and interaction with matter" (in en). Journal of High Energy Physics 2017 (11): 113. doi:10.1007/JHEP11(2017)113. ISSN 1029-8479. Bibcode: 2017JHEP...11..113B.
6. ↑ Zinoviev, Yurii M. (2017). "Infinite Spin Fields in d = 3 and Beyond" (in en). Universe 3 (3): 63. doi:10.3390/universe3030063. Bibcode: 2017Univ....3...63Z.
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" (in en). Nuclear Physics B 946: 114717. doi:10.1016/j.nuclphysb.2019.114717. ISSN 0550-3213. Bibcode: 2019NuPhB.94614717B.
8. ↑ Najafizadeh, Mojtaba (4 March 2020). "Supersymmetric continuous spin gauge theory" (in en). Journal of High Energy Physics 2020 (3): 27. doi:10.1007/JHEP03(2020)027. ISSN 1029-8479. Bibcode: 2020JHEP...03..027N.
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. Bibcode: 2015PhLB..743..224S.

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