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Paper   IPM / Physic / 15497
School of Physics
  Title:   Continuous-spin field propagator and interaction with matter
  Author(s): 
1.  X. Bekaert
2.  J. Mourad
3.  M. Najafizadeh
  Status:   Published
  Journal: JHEP
  Vol.:  11
  Year:  2017
  Pages:   113
  Supported by:  IPM
  Abstract:
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.

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