Covariant actions and propagators for all spins, masses, and dimensions

Abstract

The explicit covariant actions and propagators are given for fields describing particles of all spins and masses, in any spacetime dimension. Massive particles are realized as "dimensionally reduced" massless particles. To obtain compact expressions for the propagators, it was useful to introduce an auxiliary vector coordinate $s^{\mu }$ and consider "hyperfields" that are functions of space $X^{\mu }$ and $s^{\mu }$. The actions and propagators serve as a basic starting point for concrete high spin computations amenable to dimensional regularization, provided that gauge invariant interactions are introduced.

v1, 37 pages; v2, references added; v3, published version

References in corpus (14)

• Current Exchanges and Unconstrained Higher Spins
• On massive spin 2 interactions
• Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
• Universal Limits on Massless High-Spin Particles
• Compton Black-Hole Scattering for $s\le 5/2$
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• On spin 3 interacting with gravity
• A Bound on Massive Higher Spin Particles
• Veneziano Variations: How Unique are String Amplitudes?
• Generalized Veneziano and Virasoro amplitudes
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• Minimal gauge invariant and gauge fixed actions for massive higher-spin fields

Cited by in corpus (6)

• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Consistent actions for massive particles interacting with electromagnetism and gravity
• On equivalence of gauge-invariant models for massive integer-spin fields
• On the photon mass generation in Rarita-Schwinger QED
• Unexpected Symmetries of Kerr Black Hole Scattering