Cubic interaction terms for arbitrary spin

Bengtsson, Anders K.H.; Bengtsson, Ingemar; Brink, Lars

doi:10.1016/0550-3213(83)90140-2

Cited by 284 publications

(377 citation statements)

References 8 publications

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“…This is in agreement with the analysis of [11] as well as with the general property of HS theories that their interactions contain higher derivatives [12,13].…”

Section: Higher-spin Conformal Currentssupporting

confidence: 91%

Higher-spin conformal currents in Minkowski space

2008

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“…This is in agreement with the analysis of [11] as well as with the general property of HS theories that their interactions contain higher derivatives [12,13].…”

Section: Higher-spin Conformal Currentssupporting

confidence: 91%

Higher-spin conformal currents in Minkowski space

2008

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“…Moreover, the spin 3 self interaction requires structure constants like those in spin 1 self interactions. Results in the light-front gauge [3,4] confirm and extend the pattern of the table: d = s 1 − 1 (s 1 ≥ s 2 ) and d = 2s 2 − s 1 − 1 (s 1 ≤ s 2 ). Structure constants are required for all odd spin self interactions.…”

Section: Introductionsupporting

confidence: 82%

On the construction of scattering amplitudes for spinning massless particles

Berends

Giele

1997

Nuclear Physics B

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In this paper the general form of scattering amplitudes for massless particles with equal spins s (ss → ss) or unequal spins (s a s b → s a s b ) are derived. The imposed conditions are that the amplitudes should have the lowest possible dimension, have propagators of dimension m −2 , and obey gauge invariance. It is shown that the number of momenta required for amplitudes involving particles with s > 2 is higher than the number implied by 3-vertices for higher spin particles derived in the literature. Therefore, the dimension of the coupling constants following from the latter 3-vertices has a smaller power of an inverse mass than our results imply. Consequently, the 3-vertices in the literature cannot be the first interaction terms of a gauge-invariant theory. When no spins s > 2 are present in the process the known QCD, QED or (super) gravity amplitudes are obtained from the above general amplitudes.

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“…[11], while all cubic interaction vertices for arbitrary spin massless fields in R 3,1 were obtained in refs. [27][28][29].…”

Section: Jhep11(2017)197mentioning

confidence: 99%

“…As the vertex V (2) Zβ is considered to be expandable in the B 3 we use the following power series expansion: 27) where V n is a degree-n monomial in B 3 . Equations (F.26) then imply 30) where N 1Z , N 2Z are given in (F.25).…”

Section: (F2)mentioning

confidence: 99%

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

Metsaev

2017

J. High Energ. Phys.

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Light-cone gauge formulation of relativistic dynamics of a continuous-spin field propagating in the flat space is developed. Cubic interaction vertices of continuous-spin massless fields and totally symmetric arbitrary spin massive fields are studied. We consider parity invariant cubic vertices that involve one continuous-spin massless field and two arbitrary spin massive fields and parity invariant cubic vertices that involve two continuousspin massless fields and one arbitrary spin massive field. We construct the complete list of such vertices explicitly. Also we demonstrate that there are no cubic vertices describing consistent interaction of continuous-spin massless fields with arbitrary spin massless fields.

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Cubic interaction terms for arbitrary spin

Cited by 284 publications

References 8 publications

Higher-spin conformal currents in Minkowski space

Higher-spin conformal currents in Minkowski space

On the construction of scattering amplitudes for spinning massless particles

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

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