On quantum corrections in higher-spin theory in flat space
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.
Cite
@article{arxiv.1603.06273,
title = {On quantum corrections in higher-spin theory in flat space},
author = {Dmitry Ponomarev and Arkady A. Tseytlin},
journal= {arXiv preprint arXiv:1603.06273},
year = {2016}
}
Comments
34 pages, minor corrections and references added