Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field

Buchbinder, I. L.; Krykhtin, V.A.

doi:10.1140/epjc/s10052-015-3687-z

“…The latter requires the knowledge of the 0-0-s-s quartic vertex (and similar one for the ghosts). The problem of determining quartic interactions of massless higher spins in flat and AdS spaces was addressed using different approaches in, e.g., [69,6,14,70,17,71,72,53], but its full conclusive solution is yet to be found. While being unable to determine the tadpole contribution explicitly, here we shall still comment on its expected UV behaviour required to cancel the UV divergent part of the bubble graph.…”

Section: Introductionmentioning

confidence: 99%

On quantum corrections in higher-spin theory in flat space

Ponomarev

¹

,

Tseytlin

²

2016

J. High Energ. Phys.

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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 higherspin 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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“…There is not much literature on interactions of higher spin fields beyond cubic order, see e.g [36,[80][81][82][83][84]…”

mentioning

confidence: 99%

Actions for self-dual Higher Spin Gravities

Krasnov

¹

,

Skvortsov

²

,

Tran

³

2021

J. High Energ. Phys.

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Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of complete higher spin theories both in flat and (anti)-de Sitter spaces that feature gauge and gravitational interactions. The actions are based on a new description of higher spin fields, whose origin can be traced to early works on twistor theory. The new description simplifies the structure of interactions. In particular, we find a covariant form of the minimal gravitational interaction for higher spin fields both in flat and anti-de Sitter space, which resolves some of the puzzles in the literature.

show abstract

“…There is not much literature on interactions of higher spin fields beyond cubic order, see e.g [36,[79][80][81][82][83]…”

mentioning

confidence: 99%

Actions for Self-dual Higher Spin Gravities

Krasnov,

Skvortsov,

Tran

2021

Preprint

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Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of complete higher spin theories both in flat and (anti)-de Sitter spaces that feature gauge and gravitational interactions. The actions are based on a new description of higher spin fields, whose origin can be traced to early works on twistor theory. The new description simplifies the structure of interactions. In particular, we find a covariant form of the minimal gravitational interaction for higher spin fields both in flat and anti-de Sitter space, which resolves some of the puzzles in the literature.

show abstract

Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field

Cited by 14 publications

References 73 publications

On quantum corrections in higher-spin theory in flat space

On quantum corrections in higher-spin theory in flat space

Actions for self-dual Higher Spin Gravities

Actions for Self-dual Higher Spin Gravities

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