New class of Proca interactions

Abstract

We propose a new class of Proca interactions that enjoy a non-trivial constraint and hence propagates the correct number of degrees of freedom for a healthy massive spin-1 field. We show that the scattering amplitudes always differ from those of the Generalized Proca. This implies that the new class of interactions proposed here are genuinely different from the Generalized Proca and there can be no local field redefinitions between the two. In curved spacetime, massive gravity is the natural covariantization but we show how other classes of covariantizations can be considered.

28 pages, 1 figure Version published in Physical Review D. The title has been changed to match the one of prd

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Cited by in corpus (26)

• Destabilization of black holes and stars by generalized Proca fields
• Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories
• Generalized SU(2) Proca theory reconstructed and beyond
• The Effective Field Theory of Vector-Tensor Theories
• Cosmology of Extended Proca-Nuevo
• On the role of constraints and degrees of freedom in the Hamiltonian formalism
• Positivity bounds in vector theories
• Positivity Bounds on Massive Vectors
• Constraint characterization and degree of freedom counting in Lagrangian field theory
• Quantum stability of Proca-Nuevo
• Towards the extended SU(2) Proca theory
• Generalised Proca Theories in Teleparallel Gravity
• Schwarzschild quasi-normal modes of non-minimally coupled vector fields
• Aether scalar tensor theory: Hamiltonian Formalism
• On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
• Unveiling the Effects of Coupling Extended Proca-Nuevo Gravity on Cosmic Expansion with Recent Observations
• Canonical analysis of Kalb-Ramond-Proca duality
• Theory of interacting vector dark energy and fluid
• Effective field theory of coupled dark energy and dark matter
• Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
• Symplectic quantization of multi-field Generalized Proca electrodynamics
• Unique gravitational wave signatures of GLPV scalar-tensor theories
• Scattering Amplitudes for Binary Systems beyond GR
• Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions
• Non-minimal non-Abelian quantum vector fields in curved spacetime
• $G_3$ -- interacting scalar tensor dark energy