Cubic interaction vertices for fermionic and bosonic arbitrary spin fields

By R. R. Metsaev. 2007

190 citations recorded by the source corpus.

Abstract Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic interaction vertices for totally symmetric and mixed-symmetry massive and massless fields are obtained. For the case of totally symmetric fields, we derive restrictions on the allowed values of spins and the number of derivatives. These restrictions provide a complete classification of parity invariant cubic interaction vertices for totally symmetric fermionic and bosonic fields. As an example of application of the light-cone formalism, we obtain simple expressions for the Yang–Mills and gravitational interactions of massive arbitrary spin fermionic fields. For some particular cases, using our light-cone cubic vertices, we discuss the corresponding manifestly Lorentz invariant and on-shell gauge invariant cubic vertices.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8bfdb30c73d26f0780d9a5c15390add8d6bb914c

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, background): “This is related to the fact that the on-shell expression of (3.1) gives, for a HS state coupling to the other two states, a current which is conserved identically and therefore should not deform the gauge algebra [ 42 , 43].”
How higher-spin gravity surpasses the spin-two barrier (2010, background): “the approach [96, 97] to the writing of covariant non-abelian vertices can be seen as the covariantization of the vertices already obtained in the light-cone approach in [77, 78, 58, 84] where, on top of the cubic coupling given by the light-cone gauge approach, terms are added which vanish in the s”