On interactions of massless spin 3 and scalar fields

Abstract

Using new approach for the deformation procedure in the case of reducible gauge theories (Lavrov in Eur. Phys. J. C 82:429, 2022), it is shown that in the model of massless spin 3 field and a real scalar field local cubic and quartic vertices invariant under original gauge transformations can be explicitly constructed.

arXiv comment11 pages, v2: ref added, minor corrections, v3: typos corrected, section Discussion extended, published version, v4:in Section 4 and Discussion correction of conclusions about cubic vertices made

References in corpus (14)

• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Are Nonrenormalizable Gauge Theories Renormalizable?
• Quartet unconstrained formulation for massless higher spin fields
• Spin 3 cubic vertices in a frame-like formalism
• Quartet unconstrained formulation for massive higher spin fields
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• On a gauge-invariant deformation of a classical gauge-invariant theory
• On special quartic interaction of higher spin gauge fields with scalars and gauge symmetry commutator in the linear approximation
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• On classical and quantum deformations of gauge theories
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Anticanonical transformations and Grand Jacobian
• On gauge-invariant deformation of reducible gauge theories

Cited by in corpus (3)

• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
• BRST-BV approach for interacting higher spin fields
• Generalized canonical approach to deformation problem in gauge theories