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Spinning particles and higher spin field equations

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arxiv 1504.02683 v3 pith:ZOFLZHQK submitted 2015-04-10 hep-th

classification hep-th
keywords spinhigheractionsequationsfieldfirstparticlesquantization
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Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincar\'e group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon.

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  1. Pair production of massive charged vector bosons from the worldline

    hep-th 2025-07 conditional novelty 5.0 of 10

    A worldline path integral for a massive charged spin-1 particle reproduces the known one-loop Euler-Heisenberg-type Lagrangian and Schwinger pair production rate for vector bosons.

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