Journal of High Energy Physics

, 2017:113 | Cite as

Continuous-spin field propagator and interaction with matter

  • Xavier BekaertEmail author
  • Jihad Mourad
  • Mojtaba Najafizadeh
Open Access
Regular Article - Theoretical Physics


Action principles for the single and double valued continuous-spin representations of the Poincaré group have been recently proposed in a Segal-like formulation. We address three related issues: first, we explain how to obtain these actions directly from the Fronsdal-like and Fang-Fronsdal-like equations by solving the traceless constraints in Fourier space. Second, we introduce a current, similar to the one of Berends, Burgers and Van Dam, which is bilinear in a pair of scalar matter fields, to which the bosonic continuous-spin field can couple minimally. Third, we investigate the current exchange mediated by a continuous-spin particle obtained from this action principle and investigate whether it propagates the right degrees of freedom, and whether it reproduces the known result for massless higher-spin fields in the helicity limit.


Higher Spin Symmetry Space-Time Symmetries Gauge Symmetry 


Open Access

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Xavier Bekaert
    • 1
    • 2
    Email author
  • Jihad Mourad
    • 3
  • Mojtaba Najafizadeh
    • 1
    • 4
  1. 1.Laboratoire de Mathématiques et Physique Théorique, Unité Mixte de Recherche 7350 du CNRSFédération de Recherche 2964 Denis Poisson, Université François RabelaisToursFrance
  2. 2.B.W. Lee Center for Fields, Gravity and StringsInstitute for Basic ScienceDaejeonKorea
  3. 3.AstroParticule et Cosmologie, Unité Mixte de Recherche 7164 du CNRS, Université Paris VIIParis Cedex 13France
  4. 4.School of Physics, Institute for Research in Fundamental Sciences (IPM)TehranIran

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