Abstract
We consider an interacting theory of an infinite tower of massless higher-spin fields in flat space with cubic vertices and their coupling constants found previously by Metsaev. We compute the one-loop bubble diagram part of the self-energy of the spin 0 member of the tower by summing up all higher-spin loop contributions. We find that the result contains an exponentially UV divergent part and we discuss how it could be cancelled by a tadpole contribution depending on yet to be determined quartic interaction vertex. We also compute the tree-level four-scalar scattering amplitude due to all higher-spin exchanges and discuss its inconsistency with the BCFW constructibility condition. We comment on possible relation to similar computations in AdS background in connection with AdS/CFT.
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Ponomarev, D., Tseytlin, A.A. On quantum corrections in higher-spin theory in flat space. J. High Energ. Phys. 2016, 184 (2016). https://doi.org/10.1007/JHEP05(2016)184
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DOI: https://doi.org/10.1007/JHEP05(2016)184