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Continuous-spin field propagator and interaction with matter

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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https://hal.archives-ouvertes.fr/hal-01669427
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Submitted on : Wednesday, December 20, 2017 - 10:05:02 PM
Last modification on : Friday, May 22, 2020 - 1:23:26 AM

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Xavier Bekaert, Jihad Mourad, Mojtaba Najafizadeh. Continuous-spin field propagator and interaction with matter. JHEP, 2017, 11, pp.113. ⟨10.1007/JHEP11(2017)113⟩. ⟨hal-01669427⟩

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